I've been thinking about this quite a bit recently, but it seems like while the show was a big hit and has had merchandise and such, it seems like it's not that big, maybe even more underground than the Muppets (though maybe more "cult").
It seems the characters haven't really been in much else besides the original series. Yeah, we had Rocky and His Friends and The Bullwinkle Show, but they're pretty much the same show. And the characters have been in many commercials, both during the shows run and after. Aside from that, there's been four movies, two shorts, the Mr. Peabody Netflix series, The Dudley Do-Right Show (which didn't really have any new material), a live show at Universal Studios, and a Chuck E. Cheese-type restaurant, and I think there's plans for either a new CGI Bullwinkle movie or series. There's also Hoopity Hopper, which is kinda like a sixth season of the original series but with only the main segment replaced, all supporting segments being repeats of what was already shown on the Rocky and Bullwinkle Show, but Bullwinkle, Boris, and Dudley Do-Right all made guest appearances in the Hoopity Hopper segments, and the Bullwinkle puppet appeared in a Fractured Flickers episode.
And that's not to mention the fact that there were plans for things that did not get produced. There were plans for a New Bullwinkle Show, with audio at least recorded for a pitch tape (I had thought it was animated, but I saw a post on the Jay Wards Wacky World Facebook page, stated by Keith Scott, that only audio was recorded), and I recently learned that the theatrical Fractured Fairy Tale short was originally written to be part of the show. And there were plans for a Bullwinkle SuperBowl special which got canceled when the NFL threatened to sue whoever would sponsor it. And of course back when Disney had the video rights somebody pitched a new Bullwinkle series, mistakenly thinking the company owned the characters.
It would have been great if we had more Bullwinkle productions on a scale similar to Muppets, Disney, Looney Tunes, Scooby Doo, Tom and Jerry, and other long-running franchises. Of course Bullwinkle seems toe Jay Wards biggest hit. Crusader Rabbit might have run as long but isn't remembered, George of the Jungle seems to be big despite the original series only having 17 episodes. But the other shows only lasted a season, if they got past the pilot stages.