Anything non-aquatic that is kept submerged for long periods of time is potentially dangerous to your fish. Because such plants can't survive being submersed forever, when they die, they can breakdown and cause issues with water quality.
Terrestrial plants that are grown with only the roots in the tank such as pothos, peace lilies and draceneas are best at removing nitrates from your aquarium. Actual aquarium plants prefer to uptake ammonia over nitrate and so can be useful in tanks that may not be cycled or where there are issues with water quality.
Just do your research before you go out and purchase. Anything that looks like it should be in a pot is probably going to be a terrestrial plant. I don't think a lot of true aquatic plants are variegated either, so if any of the plants you find look like that I would probably pass on them.
Also be aware that some aquatic plants can be grown emersed or submersed and the appearance of them in these forms can be dramatically different. Plants that are grown emersed (common ones are swords and crypts) will usually melt and die back initially when introduced into a tank. However, once they have acclimatised themselves to the change in conditions they will resume growing. Terrestrial plants cannot acclimatise to life underwater and so they will just continue to die off.