Here are some that I have found to be quite forgiving in terms of light conditions and drought resistance.
Spider plant, spider plant! Good for hanging. Will get bushy.
Pothos (featured on the Wikipedia houseplant page, which may be interesting to you overall) - very pretty, hard to kill. My mother has had one for my whole life that has produced countless cuttings and new plants. It grows in long vines if you let it, you can put it someplace high and let the vines go wherever you want. Just don’t spray it with water (or anything else). THAT’s how you can kill it. Trust me.
Shefflera is also hard to kill and quite spectacular. Mine is still humungous and going strong, after being tended by three different people, having a shelf dropped on it, being ruthlessly pruned, dried out repeatedly, etc.
Snake plant. Grows straight up. A good floor plant.
Ficus, a common office plant. A big floor plant, basically a tree. I think the reason they cally it “weeping fig” is because it drops leaves all the damn time, but as long as you water it before they all fall off, it will be fine.
Cast Iron Plant (or, on preview, a Peace Lily). Bizarrely obsene-looking and beautiful for such an easy houseplant. Exceedingly difficult to kill, hence the name. It will tell you when it needs water by drooping. Then when you water it, it will perk right up.
Coleus is traditionally an outdoor plant, but a friend of mine pulled one out of the garbage and brought it over. We pruned off the ends, re-rooted them and planted them, and soon were over-run with coleus. It’s the only pink plant I’ve ever made grow, and it was very easy. So if you’re feeling adventurous, try one in a pot.
Ivy is good. It grows outdoors everywhere in England so obviously it doesn’t need a lot of light (snerk). Up here in Canadia people grow it in pots a lot. Also hard to kill.
If you have a lot of light, and like to cook/eat, you should consider planting some herbs and salad greens. They need a LOT of light, and pretty deep soil, but are the most materially rewarding of all indoor plants!
In general, if it is getting tall and straggly, you can cut off the ends and re-root them (ie put them in water until they root, then plant in soil) and the plant will be more bushy. Keep this in mind with your Pothos and Shefflera specifically (and you must do this with your basil if you’ve got it). It’s a matter of taste whether/how much you want to do this.
Also, keep this in mind: plants are cheap, and they die sometimes. It’s okay. You’re not a murderer. So don’t worry too much about killing them, it happens to everyone despite your best efforts. Just replace them. Eventually you will have lots that you can’t kill.