This app was mentioned in 2 comments, with an average of 3.00 upvotes
Narcissu is a good start if you are into Japanese VN.
Linkme: Narcissu
You can also use ONScripter to port PC nscripter games into your phone. Famous VN games such as Higurashi or Umineko, or even some of the strategy emulation games with same engine are fully working with it.
Edited: Typo and link
Narcissu - https://play.google.com/store/apps/details?id=com.qberty.narcissu
Yes, you need ONScripter, then you just drag n drop the game files from your PC to your phone.