Never pick a champion based on how OP they are said to be: play champions that you enjoy playing.
Alistar you can get for free, so you can just pick him up
Amumu: if you need a good tank jungler (he's also cheep so if you have the IP, then you go ahead and pick him up)
Anivia: if you're good at playing safe. She is very slow with no mobility
Ashe is in a bit of a weak spot, but can still work with the right comp (also cheep, see Amumu's point)
Karma....I really have nothing on that one
Quinn: Quinn is quite a difficult champion to master. Depending on the role you pick for her, it will be awhile before you master every part of her kit
Rammus: if you need a good ganking jungler and hate ADCs
Thresh: if you need a good support
Zac: again, nothing really on this guy