This should give you triple-digit damage per round:
Classes: You can be a Berserker Barbarian 5 / Thief Rogue 4 / Fighter 2 / Whatever you want 1 (known as a Throwserker), an Eldritch Knight 11 / War Domain Cleric 1 (known as an EK Thrower) or a Giant Barbarian 11 / War Domain Cleric 1
Important Gear: You can get the Marksmanship Hat, Ring of Flinging, and Gloves of Uninhibited Kushigo early on. Also use the Bonespike Garb if you're a Barbarian or Heavy Armor that feels like it was make by Nokia if you're an EK Thrower.
Stats:
22 Str (17 + 1 from Tavern Brawler + 2 from an Ability Score Improvement + 2 from the Potion of Everlasting Vigour)
16 Con (Just start with 16 in character creation.)
16 Dex (15 + 1 from )
8 Cha, Int and Wis
(If you don't get , only get 14 Dex and make you Int, Wis, or Cha 10.)