Prepare yourself. I have way too many to name but here are a few that came to mind instantly. I'm not giving you only five.
- The summoning in Final Fantasy X
- The ranch scene in The Last of Us
- Eva's speech about The Boss/ending of Metal Gear Solid 3
- Riding into Mexico in Red Dead Redmption
- The sneaking mission "All Ghillied Up" in Call of Duty 4
- Every colossus fight in Shadow of the Colossus; particularly the 3rd one
- Being introduced to Rapture/Columbia in Bioshock/Bioshock Infinite
- The train sequence in Uncharted 2 (I wonder what Uncharted 4's action scene will be?)
And most recently, so I don't make a post that is too long:
- Riding around on my horse in The Witcher 3. Such a beautiful game world