Story mode / Infinite lives / invincibility modes.
Difficulty should not be a barrier for entry. I like how Insomniac games like Ratchet and Clank, and to a lesser extent Spiderman, offer a really easy mode for those who just want to blast away or swing around New York.
How would the world feel about a ridge Racer, RR revolution, rage racer and RR type 4 remaster/reboot? The same game mechanics, menus, modes etc, just with a modern gaming engine and graphics.