From what you've posted and as some others have responded - a Bersa/Firestorm .22 that isn't picky is what you're describing.
Trouble is, nobody can guarantee that yours won't be picky. Most seem to like CCI (MiniMag/Blazer) fine, and curiously many like Remington Golden Bullet. Past that, all bets are off. Things may improve with use over time.
Fortunately mine is easy to please. I like it, but knowing the finicky nature of the model I don't usually recommend it to others. If a .22 won't shoot most any common bulk, that's a big minus in my book (occasional individual exceptions notwithstanding).
The other route I would recommend is to get a Buckmark and then get the shortest aftermarket barrel I could find, or one from the Micro model. That might end up being a bit more $ than you wanted to put into this, though (understandable). Good luck, whatever you decide.