Frisbee and pickleball both have the nice property of being a mix of aerobic and anaerobic. They both reward bursts of power in addition to endurance.

Ordinary running doesn't do that, though there is a practice called "fartlek" (literally, speed-play) where you do random bursts of speed. It used to be considered excellent cross training, though I haven't heard the term in a while. (Perhaps because the name is unintentionally hilarious.)