I would not recommend mangroves.
Reason 1: I have never seen or read any convincing evidence they can be grown submerged. At best they may survive and use energy stores to get 'bigger', but don't be fooled into thinking this is actual growth, as they don't actually gain any dry mass and are basically just stretching out to try and get out of the water. Of course it makes sense for them to be able to survive extended periods of time under water, but that's all they are doing: surviving temporarily.
Reason 2: Best case scenario, congratulations, you have just discovered the worlds first fully aquatic tree. These things get big, waaaaaaaaaaay too big for your average aquarium.
For the OP: Unfortunately not submerged, but the 'lucky bamboo' plant you speak of does well in tanks if you let tthe leaves out of the water and put a light above them. The species you are talking about is Dracaena sanderiana and is actually often falsely sold as an aquatic plant in many LFS's, though they die underwater after a few weeks to a few months.