Credit to Mike Myler for the original conversion. Summarised here for my PCs as part of the upcoming Clash of the Titans campaign.
RACES
EVERYBODY IS A HUMAN but has a Bloodline that makes them unique, proper classical heroes tied to the gods. Plus everybody gets a feat of their choice at 1st level.
Thylean Names
Names in Thylea have a Greek/Roman flavour to them. This applies to both humans and non-human races.
Male Names: Adonis, Adrian, Alexander, Agrippa, Basil, Belen, Bemus, Calix, Claus, Corban, Cy, Damen, Darius, Demitrius, Deo, Dru, Egan, Estevan, Evan, Faustus, Flavius, Giles, Gregory, Griffin, Isidore, Hector, Jace, Jorges, Julian, Kal, Karan, Keelan, Kyril, Lander, Layland, Leo, Magus, Mateo, Neo, Nicholas, Nicos, Odell, Orelius, Orrin, Paris, Pancras, Pearce, Philip, Quinn, Rastus, Sander, Santos, Sirius, Spiro, Stavros, Tadd, Tassos, Theo, Timon, Tyrone, Vitalis, and Xander.
Female Names: Adara, Adrianna, Aegea, Aria, Ava, Bryony, Cadie, Calista, Calla, Cara, Cleo, Dalia, Daria, Demi, Desa, Diana, Dora, Echo, Electra, Falana, Finn, Galena, Gemina, Halia, Hatria, Hester, Idylla, Iliana, Ina, Irene, Iria, Jacinda, Jenesis, Justina, Kaia, Kat, Kiersten, Lacie, Layna, Leah, Lyssa, Madelia, Mariam, Maya, Melani, Nara, Nora, Orelle, Pamela, Penelope, Petra, Rhoda, Sophia, Seema, Selena, and Tabatha.
If you are really stuck here is a greek and roman name generator.
BLOODLINES
Your bloodlines here grant proficiency in one skill or tool kit, a +2 increase to one of your related god’s attributes, a +1 increase to another of the related god’s attributes, and a special bloodline feature chosen from the two presented.
When a bloodline feature calls for a saving throw, it is equal to DC 8 + the demigod’s proficiency bonus + the demigod’s Charisma modifier. Spells granted by a bloodline are innately cast without the need for material components and where noted are modified as though cast using a sorcerer’s metamagic features. Note that these abilities are available once every 24 hours, not once between long rests.
To randomly generate a bloodline roll a 1d30 and any roll above 27 you get to choose your bloodline.
Anemoi (the Winds)
- Proficiency: Acrobatics
- Attributes: Dexterity, Constitution
- Bloodline Features: Gust of wind once per day or extended expeditious retreat once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Aphrodite
- Proficiency: Persuasion
- Attributes: Constitution, Charisma
- Bloodline Features: Extended charm person once per day or heroism once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Apollo
- Proficiency: Perception
- Attributes: Dexterity, Wisdom, Charisma
- Bloodline Features: True strike (as a bonus action) once per day or cure wounds(as a 2nd-level spell) once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Ares
- Proficiency: Athletics
- Attributes: Strength, Constitution
- Bloodline Features: Ares’ Rage once per day or Battle Aura once per day.
- Ares’ Rage. As a bonus action you enter a rage similar to barbarian rage, gaining a +2 bonus to Strength or Constitution (chosen when you begin to rage; this cannot increase an ability score past 20), a +1 bonus to Wisdom saving throws, and a -1 penalty to AC. Activating this ability is a free action and it lasts 1 minute.
- Battle Aura. Once per day as a bonus action, your awesome presence frightens enemies within 20 feet of you causing them to be frightened for 1d4 rounds.
- Piety Effects: Iroas or Mogis (choose one)
Amazonian Blood. As Ares is the patron of the Amazonians, female characters may instead choose to have Amazonian blood. You use the half-giant as your race.
Artemis
- Proficiency: Survival
- Attributes: Dexterity, Constitution
- Bloodline Features: True strike (as a bonus action) once per day or Artemis’ Arrow once per day.
- Artemis’ Arrow. After hitting a creature with a ranged weapon attack, as a bonus action, you can choose to force the target to make a Wisdom saving throw or be stunned for 1 round. If you use this feature in conjunction with a bow, the DC increases by 1.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Athena
- Proficiency: Arcana
- Attributes: Constitution, Wisdom, Charisma
- Bloodline Features: Heroism once per day or your AC increases by 1.
- Piety Effects: As Ephara.
Demeter
- Proficiency: Nature
- Attributes: Constitution, Wisdom
- Bloodline Features: Extended goodberry once per day or barkskin (self only) once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Dionysus
- Proficiency: Nature
- Attributes: Constitution, Charisma
- Bloodline Features: Entangle once per day or hideous laughter once per day.
- Piety Effect: Karametra.
Eos
- Proficiency: Survival
- Attributes: Constitution, Charisma
- Bloodline Features: Light at will or enhance ability (Charisma and self only) once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Eris
- Proficiency: Deception
- Attributes: Dexterity, Constitution
- Bloodline Features: Betrayal once per day or Eris’ Fury once per day.
- Betrayal. This heightened (to 2nd level) and specialized form of lesser confusion causes the target to attack an ally for 1 round.
- Eris’ Fury. You imbue you or a willing creature you touch with an effect like Ares’ Rage, except that when Eris’ Fury ends you gain one level of exhaustion.
Eros
- Proficiency: Insight
- Attributes: Dexterity, Charisma
- Bloodline Features: Extended charm person once per day or hideous laughter once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Hades
- Proficiency: Intimidation
- Attributes: Constitution, Intelligence
- Bloodline Features: Vampiric Touch (discharges after the first successful hit) once per day or Battle Aura once per day.
- Piety Effects: As Atherios or Erebos (choose one).
Hecate
- Proficiency: History
- Attributes: Intelligence, Charisma
- Bloodline Features: Fog cloud once per day or darkvision (self only) once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Helios
- Proficiency: Animal Handling
- Attributes: Constitution, Charisma
- Bloodline Features: Daylight once per day or extended expeditious retreat (self only) once per day.
- Piety Effect: As Heliod.
Hephaestus
- Proficiency: Smith’s tools
- Attributes: Constitution, Intelligence
- Bloodline Features: Extended magic weapon once per day or heat metal once per day.
- Piety Effect: As Purphoros.
Hera
- Proficiency: Persuasion
- Attributes: Wisdom, Charisma
- Bloodline Features: Detect thoughts once per day or shatter once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Hermes
- Proficiency: Stealth
- Attributes: Dexterity, Intelligence
- Bloodline Features: Extended expeditious retreat (self only) once per day or invisibility (self only) once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Hestia
- Proficiency: Nature
- Attributes: Constitution, Wisdom
- Bloodline Features: Aid once per day or sanctuary once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Iris
- Proficiency: Navigator’s tools
- Attributes: Intelligence, Wisdom
- Bloodline Features: Blindness once per day or message three times per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Muses
- Proficiency: Performance
- Attributes: Intelligence, Charisma
- Bloodline Features: Heroism once per day or shatter once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Nike
- Proficiency: Athletics
- Attributes: Strength, Constitution, Wisdom
- Bloodline Features: Extended jump (self only) once per day or Nike’s Blessing (self only) once per day.
- Nike’s Blessing. You gain a +1 bonus to saving throws, attack rolls, ability checks, and weapon damage rolls for 1 round per point of proficiency bonus you possess.
- Piety Effect: As Iroas.
Pan
- Proficiency: Performance
- Attributes: Dexterity, Constitution
- Bloodline Features: Extended charm person once per day or extended expeditious retreat (self only) once per day.
- Piety Effect: As Phenax.
Poseidon
- Proficiency: Vehicle (water)
- Attributes: Strength, Constitution
- Bloodline Features: Earth tremor once per day or blur (self only) once per day (though rather than being blurred, the character is surrounded by a concealing mist of watery droplets with the same effect as the spell).
- Piety Effect: As Thassa.
Selene
- Proficiency: Investigation
- Attributes: Wisdom, Charisma
- Bloodline Features: Light at will or sleep (as a 2nd-level spell) once per day.
- Piety Effects: Standard (see the general Piety entry in the campaign primer).
Titan (any)
- Proficiency: Athletics
- Attributes: Strength, Constitution, Intelligence
- Bloodline Features: Enhance ability (Strength only, self only) once per day or enhance ability (Constitution only, self only) once per day.
- Piety Effect: As Mogis.
Zeus
- Proficiency: Persuasion
- Attributes: Strength, Constitution, Charisma
- Bloodline Features: Heroism once per day or Thundering Smite once per day.
- Thundering Smite. After hitting a creature (either before or after you roll damage), you can choose to invoke the power of Zeus’ thunderbolt upon your enemy. A blast of electricity and thunder is channelled through your weapon to your enemy, dealing +2d6 points of damage, half of which is lightning and half thunder. Every five levels (at levels 5th, 10th, 15th, and 20th) this damage increases by +1d6 (to a maximum of +6d6).
- Piety Effect: Keranos.
Fey
Though you look human you have monstrous/non-divine/non-human ancestry. You may choose any race available here and gain all the benefits of that race but you always look human – though you may have a minor affectation that reflects your true heritage. You also gain a supernatural gift.