"Strike and fielding games" isn't a standard video game genre term, but "striking and fielding games" (plural) is a well-established category in physical education. Think baseball, softball, cricket, rounders, and kickball—games where one team strikes a ball and runs bases while the other fields and attempts outs.
If you're looking for digital versions, consider these categories:
Various indie titles experiment with striking/fielding mechanics, often with unique twists—physics-based batting, asymmetric multiplayer, or roguelike progression.
Clarify your context: Are you seeking video game recommendations, PE curriculum resources, or a specific title you recall? Platform, era, and gameplay style details would help narrow it down.