Just about anything trashy with a lot of fanservice, hot girls, and classic character archetypes. The more cheesy and predictable, the better. To name a few, Magikano, Yumeria, Kanokon, Rosario+Vampire, Familiar of Zero, Girls Bravo, They are my Noble Masters, Sekirei, Vandread...
And some other shows almost required drinking. Like Code Geass R2, I instituted a 2-drink minimum before starting any episode, because it helped me tolerate/enjoy the ridiculous left-field plot twists. I shudder to think what will become of me when I rewatch it on DVD, with 4-5 episodes available at a time.
On the other hand, sometimes I learned the hard way that mixing alcohol and anime isn't a good idea. Rewatching the last 3 episodes of Fruits Basket after a long night of drinking isn't an experience I want to repeat.