Technically, "Guys and Dolls" is flipperless...though it does provide control of the ball via those, um...bangers, or whatever you'd like to call them. (Seems to me I've run across other more recent flipperless tables on the ipdb also, but I don't remember what they were.)
By the way, don't hold it too much against me for reawakening this old thread. I was just looking through here and felt it somewhat embarrassing that, on Pinball Nirvana yet!, the last post (as of now) about flipperless games was by ME, Mr. Nudgeless, of all people...and that was almost a month ago!
As for bingos (and I know we've discussed some of this before in another thread), aren't they GORGEOUS??? (Hopelessly addictive, too!)
Yeah, they're flipperless...but nowadays (as opposed to way back when, when things were still up for grabs) the different machines have become classified one way or another. Bingos are not considered pins are not considered bagatelles are not considered pachinkos (admittedly you're sort of passing a camel through the eye of a needle trying to differentiate a bagatelle from a pachinko from a 30's pin, but heck, I didn't start it!) are not considered pitch and bats...etc. As such, yes, they are flipperless, but (by modern definition) they're not pinball machines. (Forgot to mention one-balls...still waiting for someone to rec at least one of those!)
Quick story: I was driving down to my (recently deceased) mom's house in Florida way back in the early 70's, even before I'd become addicted to pins myself (though it would happen shortly thereafter...perhaps because of this?), and stopped at a diner in Nashville to grab lunch. There was a machine against the wall, with a gentleman playing it...and it was one of the most amazing things I'd ever seen in my life (and I mean BOTH his playing, AND the machine, itself!) He kept pumping coins into the thing and making all of these strange adjustments to it, and its backflash kept responding with all kinds of esoteric hystrionics...all of which he responded to in kind! Try as I may (from my distant vantage point in the booth...I wasn't about to interfere!) I couldn't even BEGIN to grasp the gist of what all was going on through all the complexity...but it was FASCINATING!
Shortly thereafter my buddy the Goose and I discovered pins...but, try as I might, I never again saw anything to rival what I'd seen that guy play in that Nashville diner...until, years and years later via vp I suddenly realized he'd been playing a bingo! (On that bingo site that Steve and I both advocate they mention that by the early 70's there were only something like two states where they were still legal, Tennessee being one of them. When TN finally outlawed them in the early 80's, that was the end of the line...though I'm encouraged by Steve's having found one made recently!)
Sorry I bored you guys with that...just got weepily nostalgic for a moment!