CCI makes .22 CB Short fairly often. Occasionally, they also produce .22 BB Cap or .22 CB "Subsonic". (Most of the .22 Short loads are subsonic, anyway.
)
There are others available, as well, but they're primarily 'match grade' imports or only produced every 3-5 years.
I haven't really paid attention to .22 Long status. It shows up here and there, but isn't always easy to find.
The only thing I can think of that's fairly close and readily available would be Aguila .22 Super Colibri. It's a .22 Long case with a 20 gr conical bullet and a minimal powder charge, resulting in a 550-600 fps muzzle velocity.
It is the 'big brother' of .22 Colibri - a .22 Long case with a 20 gr conical bullet and NO powder charge (just a hot priming compound) - which has a 330-375 fps muzzle velocity, and is not suitable for most rifles (handguns and/or short barrels only).
I shoot the CCI .22 CB Shorts quite often in some of my rimfire rifles, and for the occasional single-load, slow-fire session with my handguns.
The .22 Colibri load is something I have only tried for myself recently. It's a lot of fun, but definitely not a friend of rifle barrels. (I
had to try it.
)