Japanese term (edited): 「やりこむ」感覚

"やり込む" would probably suffice as "get into (game playing)", yes. I may "get into" other possibilities. "やる" is simply do something. When it's combined with another verb "込む"which adds up a nuance of concentration or devotion into the action, it becomes "やり込む", hence it literally has a meaning of "doing the action with intense concentration or devotion". ”感覚” is feeling or sense in the provided context. So interpreted, "「やりこむ」感覚" literally rendered something like "sense of devoting into (game playing)".

Let us hear how others would ponder.

While やりこみ often refers to "replay value" in terms of overall game design, the context here shows that the fundamental user experience is lacking in "depth."

The terms Japanese players use to describe game experiences do not line up 1:1 with Western terms, and if you try to translate this 1:1 the client will not understand what is being said. Focus on making the translation clear.

The point here is that the gameplay lacks depth because you just watch the screen and press the (corresponding) button, and as a result, progressing through the game holds no particular sense of achievement. The game is too simple, i.e. lacks "depth."

Japanese term (edited): やりこむ感覚

an alternative
http://www.rpgfan.com/reviews/starocean4/index2.html

Being a gamer myself I just had to throw in some other possible options. I think the meaning will differ on the context and the genre of the game. If it is a game based on a story with scenario choices, then it would mean the person went through (or replayed through) several scenarios. If it is an action game, then the player has acquired knowledge of the stage and has probably replayed several stages, etc.