Ruger is one.
Browning makes a very nice one.
Yes, but centerfire semi auto rifles are not legal for HUNTING in PA.
Bolt and semi-auto
There are many different types. There are pistols, rifles and shot guns. Pistols can be semi auto or single shot or a revolver. Rifles can be semi auto or full auto or bolt action or single shot or lever action. Shotguns can be semi auto or pump or single or double shot.
bolt, single shot, semi-auto, pump
Ruger 10 /22
10-100 USD or so
There are dozen's 0f good semi auto rifles. Pick any major manufacturer- Winchester, Browning, Remington, H&R, Colt, Armalite, FN. Sort of like "What are some good cars?"
No, it still considered semi auto, and semi auto rifles are only allowed for pests, not deer or other large game.
I have a Springfield model 187S .22 LR (semi-Auto, tube feed).
It may not feed well, and will not operate a semi-auto.