AarakocraEEPC: Dexterity and flight make this the optimal race for a Dexterity build, which isn’t adviseable.
AasimarVGtM: Thematic and powerful
Fallen: A really flavorful option for an Oathbreaker Paladin
Protector: The bonus Wisdom doesn’t do a lot for you.
Scourge: The added durability is welcome.
BugbearVGtM: Strength and reach make you powerful.
Dragonborn: Strength and Constitution increases, energy resistance, and a breath weapon.
Dwarf: The Constitution increase is welcome.
Hill Dwarf: Wisdom isn’t important.
Mountain Dwarf: The Strength increase is the best part of Dwarf Paladin.
DuergarSCAG: Underdark races with their sunlight sensitivity don’t really mesh with a warrior of light.
Elf: Elves are naturally lithe and dexterous, where Paladin looks for Brute Strength.
Drow: Sunlight sensitivity is a huge drawback.
EladrinMToF: Charisma, and the teleportation ability make a nice combo.
High Elf: Not useful for Paladin.
Sea ElfMToF: Not useful for Paladin.
Shadar-KaiMToF: Constitution, teleportation, and a damage resistance.
Wood Elf: Not useful for Paladin.
FirbolgVGtM: The Strength bonus is nice. Some innate spellcasting.
Air: Not useful for Paladin.
Earth: Strength and Constitution, plus some additional abilities.
Fire: Not useful for Paladin.
Water: Not useful for Paladin.
GithMToF: The Gith races aren’t terribly good Paladins.
Githyanki: Strength increase, but otherwise not useful.
Githzerai: Not useful for Paladin.
Gnome: Nothing Gnome has to offer is useful for Paladins.
Deep (Svirfneblin)EEPC/SCAG: Not useful for Paladin.
Forest: Not useful for Paladin.
Rock: Not useful for Paladin.
GoblinVGtM: A hilarious choice, your movement and Fury of the Small can be useful, but other races are generally better.
GoliathVGtM/EEPC: Good stat increases, Athletics proficiency, and Stone’s Endurance make this a great choice.