Here are some games your parents possibly played at one point in their lives, they are older mario games from a while back.
This is an example of the first 3D Mario game invented back then.It was called Super Mario 64
This is the old Super Mario Bros as you can see its not like now days where everything is 3D.Now days we call it Super Mario Bros but back then they just called it Mario Bros.
This is a back then game called Mario World it has the same settings as Super Mario Bros as you can see.
This is the older Super Mario Bros you can tell by the outdated look.It has a blocky look to it unlike the newer games that have 3D people.
This is the first game to be made of Mario. However Mario wasn't named Mario,he was named Jump Man first then Mario.As you can see this is obviously the older version of the newer one of these games.