Maybe I should've mentioned that I don't have any other Wolverine stories and this would be my first.

I this is your first time reading Wolverine, I'd recommend you get Weapon X by Barry Windsor Smith, Origin by Paul Jenkins, and Wolverine by Chris Claremont.

you've got to read Weapon X!

@wolverine08: I'm trying to get one book for each of the "A List" characters, and I'm trying to get the books that give me the best look at there personalities.

This pretty much. Old Man Logan is a great storyline, but its an alternate Future and Logan is pretty broken in it. So I would go with these three above.

I'm late to the thread but if it's between those two than Weapon X

Old Man Logan

Weapon X

Weapon X by a gigantic margin. Especially if you havent read other Wolverine stories.

I enjoyed Old Man Logan more.