I go to Attmans when I seek a pure corned beef on rye with mustard.. I go to Weiss when I seek a Cloak and Dagger(Weiss also has the better pickle in my opinion) Haven't been to Lenny's since it was Jack's!!!
For me, it's all about Attmans. There is a reason that the line often stretches out the door. On a positive note, it moves quickly. I get either the corned beef extra lean or the cloak and dagger. DH swears by the matza ball soup and chocolate topped cookies. Pickles are superb!
Attman's is like a comfortable old chair. Maybe it's a little shabby, maybe it smells, but we've spent years putting that butt groove into it and that's how we likes it. Replacing it with a $4k Eames chair just wouldn't be the same.