A bright guy wrote an ODF document reader for Android.
An overview of the app is
HERE.
Project homepage
HERE.
A Download location can be found
HERE.
Another place to download the app is
HERE.
I'm not sure yet if any of the download locations can supply just the package file without any silly subscription or google-permitted phone recognition, since I'm currently still on my PC. So, I obviously haven't had time to try it myself. From the comments I see on various sites, it doesn't have a lot of glitz, bells, whistles. It basically functions. May have problems with huge files.