I can give some general recommendations, but if I had some specific recipes that you were considering, I might be able to give more specific recommendations.
First, I'd avoid using any tool that I can't clean one-handed. If you have a dish-washer, this might not be a problem, but even things like a blender you might have difficulty disassembling and re-assembling one handed, as you can't screw on/off the bottom. Likewise, most jars and screw-top bottles will be a problem.
There are items that can be mounted under a cabinet to help with opening screw-tops, but most of them are only intended for opening ... they wouldn't work for closing the jar after you've used it. (and they'd be almost impossible to install one-handed. VHB or other mounting tape might work, but they tend to fail in torsion, so you'd need to stick the perimeter down well, and maybe add a nail or screw to prevent rotation))
Canned items are likewise out, unless you have an electric can-opener. (that being said -- check thrift stores. They often show up there). It might be possible to use an old school claw-style can opener opener on larger cans, but smaller cans are just going to move around on you too much. The ones built into pocket knives might work better, as they have a little bit that catches underneath can lip, but getting the tool opened one-handed is going to be a problem.
I would invest in some 'non-slip' shelf liner. (I like the stuff that seems to be a grid of drops of rubber. (This stuff might be it, but I couldn't be absolutely sure from the picture.) It could be placed under bowls that you can't stabilize with your off hand while you mix things, and it might work to place in the sink so that you can scrub a pot one-handed.
This is going to be counter-intuitive, but I'd actually use heavier pans. You want something that's not going to move around on the stove as you're trying to stir things or scrape up fond when deglasing. This might also be a good time to learn how to flip your food one-handed.
You can avoid some heavy lifting by only moving empty pots & pans:
- Put the empty vessel on the stove
- Fill the vessel
- Ladle cooked food out of the vessel
- Move the empty vessel to the sink (or dishwasher) to clean it
If you have tongs, you can also do this with strand-type pasta, and if you have a good spider you can make shaped pasta. (I prefer a basket-style spider, as I don't take so long to get it all out that half of it is overcooked). You can use a pitcher to get the water into the pot, and a large pyrex measuring cup to get most of it out. (or wait for it to cool, and use whatever you have that you can dip in).
You can avoid some knife work by using ground meats. (if you're a meat-eater. If not, well, avoid large blocks of firm tofu) This will both avoid cutting while cooking, but also while eating. If you do need to cut things up, I'd recommend kitchen scissors. You can use them to cut up cooked meats, but they fail at things like cutting up peppers and onions. (although they might be okay for green onions / scallions)
I would actually avoid anything large that you'd have to move while hot. This would include casseroles. If you really want to make something like that, I'd invest in some serving-sized ramekins and make individual portions. (and possibly put a silicone pot-holder under the ramekin when eating)
You also have to consider eating -- you might be able to cook a steak one-handed, but you're not going to be able to eat it easily. If you're a meat eater, I'd probably work with boneless, skinless chicken thighs. They're relatively easy to cook one-handed with tongs, and you can easily cut them up with scissors or turn them into shredded chicken with a potato masher. (and they're way more difficult to overcook than breasts)
This could also be a good time to call on your friends, and or make some new friends. (This might work as a pick-up line ... approach someone you're interested in, and ask them if they'd help you cook in exchange for cooking lessons and/or a meal. If you do this, I'd suggest asking them what foods they like).
You could use your friends for some partial meal prep ... things like dicing or slicing up peppers, onions, or other ingredients so you'll have them for later meals. Or you could look into making a few single-serve casseroles (large casseroles are going to be impossible to move one-handed) or other dishes that just need to be re-heated so you have meals for a few days. If you go the second route, you can also send the friend home with a few meals in exchange.