There is a work-in-progress port to Android of OpenXcom here: github link

I just want to play

Ok, so if you're too lazy to build it ;) and just want to give it a try, here are the steps you should follow:

Get the beta apk from here and install (you'll have to trust me on this, but it only asks for filesystem access)
Get the OpenXcom data + extra music (tested with original ogg from Volutar). Unzip all of this in your phone under /storage/sdcard0/openxcom (you should have a /sdcard simlink, so /sdcard/openxcom should work too). If you have an external sd card, you can also place it there (/storage/extSdCard/openxcom).
You also need a copy of the original data (you can get that in many places if you don't have it, like steam). Copy the following folders in the same place (/sdcard/openxcom/data): GEODATA GEOGRAPH MAPS ROUTES SOUND TERRAIN UFOGRAPH UFOINTRO UNITS
Finally, and this is also important, you have to erase or rename the file SOUND/GM.CAT, as otherwise the game will attempt to use the original midi sound which does not work yet in android.

Differences with PC version (battlescape)

Path preview is enabled by default
Shoot works in the same way as path preview, first press to aim, second to shoot
Phone back button acts as right button (quits shooting mode, for instance)
Swipe map to scroll
Swipe from selected soldier to make him turn

Exiting the game hangs. Just kill the app from android for now.
Don't leave the game while in text enter mode. When going back, it won't reappear and you'll be stuck editing the text.
Music keeps playing when the app is running on background

beta2 (21/02/14)
- Update to upstream 0d04dcc
- Update SDL2 to 8225
- Fixes #460 (exit units stats page with back button)
beta1
- apk
- data + music

You can post on the forum thread or try to reach me on irc channel openxcom@freenode (nick 'page').