Historically or currently,online or on the stands.

Historically: Mad

Lampoon transitioned comedy.

Onion is the current winner.

I liked Lampoon in the late 1970s.
Weren't they trying for a come back?

I think that after it went through the hands of Tim Matheson and the Dorf guy, they concentrated on putting out the original run in other formats (Digital discs and books).

After they whored the name out to anyone who would pay to have it associated with their direct to video movies, the Lampoon name doesn't have the value that it once had.

Some classic moments in there. Also smutty, which worked well for my 16 year old self.

My favorite to this day is from the letters page:

Dear Sirs:
Call me, Fishmeal.

—Amelia Earhart

The first 23 issues of Mad are pretty unbeatable in terms of being damn funny and widely influential. Some of the best comics ever produced in any genre. But just to be perverse I voted for Cracked, because when I was a kid in the 70s I liked it better than Mad. Partly because I thought Severin was a better artist than Mad's trio of Drucker, Davis, and Torres, and party because Mad was more formulaic and predictable. Cracked was hardly cutting edge itself, but sometimes they'd do oddball things like The Talking Blob that deviated from the standard movie/TV parody template:

Mad. Though I use to love Cracked when I was a kid. I never got into Mad until I was in my twenties.

it was a choice between Mad and Cracked ...
so I went Mad...

If The Onion is an option, then I don't see how anything else can compete.