The fronds in the second picture (and in the first but the second is all them) are maidenhair fern (Adiantum) there are a ton of varieties. They like lots of moisture/humidity so they do well near waterfalls and such, very popular as houseplants particularly in bathrooms where the humidity is higher or when kept on a water filled tray.
I had some of that growing on a lava rock hung at the waterline in my shrimp tank did very well till I had some aphid problems, now it's looking a bit wimpy. If you grow it, in my experience it likes to be fed, not a ton, but it'll start to look crappy if it's not getting fertilized enough.
The other plant that you see better in the third photo, could be something in the Selaginella family maybe, but that's just a guess because that's what the shape reminds me of, I'm not an expert or anything and looking up from underneath isn't the best angle to identify. So take that with a huge grain of salt.