Looking for Controller for Android for PPSSPP

[TkSilver]

If you want a controller that attaches the phone to the controller to hold the phone while playing then.... that removes most of my recomendations and mainly leaves iPega and Moga controllers aa the 2 main brands that do what you want

Moga will mainly make holders that hold the phone above the controller, like the way the shield portable looks or the GBA SP sort of.

iPega has both the phone on top style and also the side controllers style where the phone is held in the middle of a set of controllers that surround it on both sides ..... kinda like a psp if the screen was phone.

About your issues:

The back/select if it is labled back will almost universally function like an android's back button, unless you remap it in which ever emulator your using.

Response time will always suffer on wireless (well generic wireless). Unless a controller and hardware use a proprietary protocol (like the ps3/ps4, btw this is why those controllers are a massive pain to get working on anything else) there will always be some lag. So if you need frame perfect or close to frame perfect performance you will want to use a wired USB controller over a USB-otg adapter and hopefully it will help.

The rest of the issues are pretty much controller specific issues that hopefully your next one won't have.