Recs.
Updated
Machinarium is an award winning indie point and click adventure game that costs $4.99 and has zero IAPs.
SpecsUpdate
Pros
Pro Machinarium includes immersive mode
Immersive mode is a full screen feature that hides navigation and notification bars on Android 4.4 and up and is thankfully included in Machinarium.
Pro The well-designed gameplay mechanics avoid making the game boring to the player
Unlike most point-and-click games, objects of interest in Machinarium light up only when the main character is close to them; this completely changes the way the game is played. In point-and-click games where this is not the case, the gameplay is usually reduced to aimlessly flailing the cursor around waiting for something to light up.
Machinarium on the other hand completely avoids this, keeping levels interesting and the player interested to the game.
Pro Interesting protagonist
The main character and the one controlled by the player is just a normal, average, everyday robot. He doesn't have any special powers or abilities other than being able to slightly extend his midriff in order to reach high ledges or making his body shorter. He's pretty much an ordinary robot thrust into an extraordinary situation.