Back when I was shooting film, I tried a number of different mirror lenses. Most were disappointing.
One I really liked was the Tamron SP 500mm f/8, an Adaptall2 lens. Interchangeable mounts for it are widely available for almost any old or modern SLR/DSLR. (I use a vintage Tamron 90mm Macro Adaptall2 macro lens that's currently fitted with an Canon EF-M mount... previously fitted with Canon EF mount, Nikon F mount. I've also got Konica K/AR, Canon FL/FD, and Pentax PK Adaptall mounts.)
There were two versions of the Tamron 500mm mirror lens... I had the earlier one (#55B) that incorporates a tripod mounting ring, which was handy. Buying it used, cost was about $160 with the tripod mount, original case, set of rear-mount filter (30.5mm, if memory serves), even the original 82mm lens cap. I just had to add the Adaptall, which I already had in several system mounts from using a variety of other, excellent Tamron SP Adaptall lenses. The lens' hood was missing... but I was able to find an OEM replacement for $40. Eventually I added some additional ND filters to be able to "stop the lens down" more. It came with a one-stop ND.... I think I recall adding 2 and 3 stop.
That Tamron 500mm had some of the best image quality of any mirror lens I tried (Tamron also made a 350mm f/5.6 Adaptall mirror, but they're rare. I only was able to borrow one briefly... it's an excellent lens too). Following were shot with that lens and make very good 8x10" to 11x14" prints (from slide film... I usually used Ektachrome 200 with that lens).
Shoe billed stork...
Snowy egret...
That second shot illustrates how the out of focus highlights rendered by the Tamron were less "donut-like" than is common with this type lens. I also really like the lens' color rendition and images made with it were reasonably sharp, though care had to be taken to avoid camera shake blur. The lens was so light and small, it's easy to forget how challenging 500mm can be to hand hold! I got in the habit of at least using a monopod with it and that, or a tripod, helped a lot.
Another thing I found with the Tamron was that it seemed to be pretty accurately an "f/8 lens". Some of the other mirror lenses I tried out seemed to be a lot darker than they were rated... "f/8" looking more like "f/11" in many cases.
The Tamron 500mm also was a surprisingly close-focusing lens... to within about five feet (my modern Canon 500mm f/4L IS USM can only focus to about 16 feet, at the closest). I don't know what level of magnification that rendered, but it was "near macro" and makes for some interesting effects. Close focusing such a long focal length can really obliterate a background, as you can see in the image below, where there was a fence and wall about 15 or 20 feet behind the flower.
Orange canna, back lit...
The Tamron 500mm did not work well with teleconverters. I also wasn't a fan of having to remove the Adaptall mount to install the rear mounted filters. But it could take 82mm filters on the front (though I never used it that way). The matched, screw-in lens hood for it was nice and deep, and can be reversed for storage. If I recall correctly, the later version of it (#55BB) didn't have a tripod mount, which I wouldn't want to be without!
I only stopped using and eventually sold my 500mm Tamron after purchasing a 300mm "normal" telephoto and a 1.5X teleconverter that worked very well together. The 300mm and 1.5X were more versatile and gave similar image quality.
At a store once I saw a Nikkor 500mm that looked very similar to the Tamron, aside from a non-interchangeable lens mount and some other cosmetic differences. I always wondered if Nikon had outsourced and rebranded a Tamron. It was good enough.... comparable to some of the best mirrors (such as the Canon FD and Minolta MD). If I were looking for a mirror lens today... or making a recommendation to someone shopping for one... I'd put the Tamron SP 500mm f/8 model #55B right at the top of the list of candidates.
Finally, when shooting with this lens you should be using fully Manual exposure or Aperture Priority AE or Manual + Auto ISO AE.
DO NOT use Program AE or Shutter Priority AE modes, both of which the camera needs to adjust the lens aperture to utilize (and nearly all mirror lenses have non-adjustable apertures). Aperture Priority AE changes the shutter speed as needed for exposure. Manual and Manual + Auto ISO AE both work too, because there's no change being made to the aperture. Also avoid any "full AUTO" point n shoot modes and most "Scene" modes like "Sports", "Landscape", "Portrait", etc., which all may require an adjustable aperture too. Using vintage lenses like the Tamron, it's also necessary on some cameras to set them to "shoot without lens", if the lens isn't "recognized". (I used a "chipped" Adaptall on my EOS DSLRs that communicates with the camera. The one I use now with an EF-M mirrorless camera doesn't have the chip, so I have to set that "shoot without lens" override in the menu.)
It's pretty easy to set most mirror lenses fully manually too, since they are fixed f/8. Out in full sun, simply use the "sunny 16 rule" and adjust two stops. "Overcast 11" means one stop of adjustment, while "shady 8" doesn't need any adjustment at all. Just vary your ISO and shutter as needed. (In case you forget, "sunny 16" just means setting f/16, then adjusting your shutter speed to be the reciprocal of your ISO... such as 1/100 with ISO 100. Since the lens is two stop faster than f/16, you would adjust the shutter speed two stops, to 1/400. Since it's a 500mm lens, it might pay to bump up ISO a little, to be able to use an even faster shutter speed... ISO 200 would allow 1/800... ISO 400 would allow 1/1600 in full sun. Of course, on a mirrorless with exposure preview in the viewfinder or a live histogram, it might be even easier.)