Convergent evolution/selection
I'm not sure if this is a complete answer, or one that's satisfactory to you... but examination of real cave systems does show a lot of convergence. The vast majority of caves will have very specific conditions that are almost universal - low/no light, high probability of water, etc., which are generally not condusive to most species' survival.
Basically, pretty much every time a large animal of any kind is able to survive off of the available resources (remember, microbial life is pretty much the basis of your ecosystem), that animal is going to be a salamander. At least on Earth; depending on how long the species has been alive down there, it'll be in various stages of eyesight loss and depigmentation. But it's probably a salamander. I think a lot of caves also have crayfish, bugs, etc. in them below the salamanders in the food chain, but it really depends on the size of the cave & the available food resources.
What I would take away from this is that, in all likelihood, there will be a very limited selection of animals suited to adapt into cave niches, which allows you to realistically put the same kind of animal in every cave within that animal's range. It might not be the exact same breed of said animal, but according to Earth, it's likely to be the same lineage across the board. Naturally I would recommend something similar enough to the salamander for this, since there are going to be traits that make an animal more eligible for cave niches.
That said, it won't be the exact same breed of animal the whole way around, different types of salamanders, in different caves, adapted in slightly different ways to their environment. Some are much further along the path than others, etc.
If you want to have multiple creatures, this is tougher. My best bet would be some kind of symbiosis - like, maybe one species is linked to the reproduction of another, or is a parasite. But this does present the biggest ceiling for realism.
Drawbacks
- You are unlikely to have a high diversity of animals. Caves simply don't provide enough resources or niches for anything more than a few creatures... and few animals are well adapted to even start living in caves anyways.
- In general... cave ecosystems tend to be less interesting than we expect... like, no plants or bioluminescence or animals bigger than maybe your thumb, with some exceptions. It's going to be mostly microbes, algae, little guys and your occasional upper food chain animal.
- Might run up against your "only simple surface life" criteria a bit.
I would recommend Atlas Pro's video on the biogeography of caves, as it has a lot of the information I gave you here but probably better explained... also, if you haven't already, look at cave exploration videos! I think our perception of caves is a bit clouded by the fact that most public access to them is largely going to be the big, flashy ones... or fictional media.