.22 air rifle with no magazine?

Most rifles can be fitted with a single shot tray in order to shoot that way. These trays convert the magazine feed into single shot mode. Just order it with your new rifle.
Red.
PS the rifles will come with a magazine so you can do what you want with that. If you get a Daystate in .25 cal just give the magazine to me

Air Arms sell several models in both single and multi-shot. They have great reviews on U-tube. Check out Air Arms banner above. They come in several different stocks and a carbine version. I really am trying not to look at them anymore because the Ultimate Sporter is showing up in my dreams. That's the .25 caliber. LOL

As previously mentioned you can get single shot trays as a replacement for some rifles. I use a single shot tray most of the time for my FX Royale 500. If you got an AA S510 or S410 both of those have single shot trays available as well. The Air Force line of rifles come as single shot and are highly respected in the hunting and target fields.

"Target quality" single shot, DO look at rapidairweapons line of rifles.
John

At Pocatello, we shoot outdoor events where .22 are very competitive, While magazines are not required, they make rapid fire stages go more smoothly. Choose a rifle for how well it shoots for you, and has the tray/magazine option. But, there is more.

The length of the slot where the tray or magazine goes varies between rifles, often rifles of the same make. I am shooting a .22 Armada right now and the length of the opening is about 1/8 narrower then my .25 Marauder.This makes a big difference for my fumble fingers when shooting the EBR speed shoot. If you are never going to shoot with a magazine, then Air Arms might be a better choice. I have an S400 and it has a very long loading port. 

Ron

I have the HW100 with the single shot loading accessory that I really like. This accessory allows for single shot and retracts outward to allow better access to load a pellet - then push it in and close the blot. After the shot while you pull the bolt back it pop to the right and allows for and other pellet to be loaded. I find it really handy. And the HW100 is a tack driver!

The RAW BM 500 and 500 LW and the TM 1000 models also the MAC 1 USFT and Hunter models are both very good target rifles.