That is an awesome list, Francisco, and I will have to bookmark this now.
Phases of the Moon Calendar may work for some and I love it, but the moonrise and moonset times quit working on my phone. 
It could be just me since I play with the settings on my phone all the time. 
Long story short, I found My Moon Phase Pro seems to fill in my needs for a moon app on Android. I still prefer the one Francisco shared but if it doesn’t work, you may want to try this one instead.