I'm trying to think back to when Blockbuster first started to rent Video Games. Actually, I don't know when Blockbuster or Hollywood Video first opened their rental stores. Maybe when they first opened, they started renting video games immediately.
The earliest games that I remember at Blockbuster were Sega Genesis and SNES carts. They might have had a small selection of the most popular and recent NES carts as well. I don't ever remember the TurboGrafx-16 being rented.
Did Blockbuster ever rent Jaguar or 3DO? I don't think they did. I know that they rented 32X for a little while, and of course Saturn for a little while. They also rented Virtual Boy. Of course they rented the original Playstation and Nintendo 64.
It's kinda werid that now we have this huge rental industry in Video Games, and in the days of the NES, really only Mom and Pop video stores and Grocery stores rented any games, and mostly it was just a small selection of the most popular NES games.
During the Genesis and SNES era is when renting games started to become the norm.