I've decided the thing that presently annoys me most about Civ VI is the AI's unrelenting aggression - ironically, as one of the game's issues at release was that the AI was too passive, too incapable of launching attacks, or both. I keep trying to get back into the game, but the constant devolution into unending wars within the first 20-100 turns is extremely repetitive and, on Deity, constrains build orders far too much in the early game. Repeatedly I end up leaving sessions purely because fighting off early aggression leaves me too far behind and the surrounding area has all been claimed.
Sometimes excessive barbarian spam has the same effect. In essence, Civ VI feels like a too-long game of Starcraft in which the only tactic the AI knows is a Zerg rush.
EDIT: Barbarian spam in particular - playing an Inland Sea map to get the achievement (reason I don't have it is that I hate Inland Sea maps) and landed a start with multiple camps that activated without my being able to do anything about it, as there was one to either side right at the start of the game and I could only clear one of them in time. I'm increasingly failing to see the purpose of barb spam in Civ VI - they don't actually do anything, they just sit around getting in the way and threatening scouts and trade routes, and preventing builders and settlers from moving out with the starts that involve barbs swarming on all sides.
The game simply shouldn't have starts that lock you out because barbs are all over the map, delaying expanding - it's not an interesting challenge and in those cases there's no counterplay. Other Civ games set the default rate of barbarian spawns at a level that they were a challenge but one that could be responded to.