If I was to buy a new Android phone these hit my short list.
Google's own Nexus models.
Hello, I'm selling my Samsung Galaxy A8 for about $360 (give or take) and am in need of the best bang for my buck Android phone I can get under that price with these features for my personal preference:
-Gyroscope, Accelerometer, & GPS (fingerprint would be nice not necessary)
-3050 or more mAh battery
-Decent camera with rear flash (mainly for selfies)
-2 or more GB ram (preferably 3-4)
-Quad or Octa core
-Android Lollipop (Marshmallow preferably)