Saiki Kusuo no Ψ-nan/psi-nan, the english name is something like the disastrous life of saiki kun or something. There are like 100 episodes but the episodes are all like 5 minutes long and its a hilarous blast that doesn't need an intense focus. perfect for the short attention span while drinking. It builds the characters personalities up really well in that short time so the cast is very enjoyable and they manage to do a lot with the short episodes.
I seriously can't recommend it enough for what you are trying to do.
The premise is basically theres a guy with psychic powers strong enough to end the world but he just wants to live life despite everyone around him.
have this unbelievably misleading video about the show
https://www.youtube.com/watch?v=zhBpp0yEQH0