I stumbled on a popular YouTube channel that creates fan animations of popular anime crossovers, especially focusing on Saitama from One Punch Man. The most recent complete animation is fantastic: it features Saitama in the Dragon Ball Z universe, fighting “Black Frieza” (another powerful transformation of Frieza in the Dragon Ball Super manga not seen in the animated versions yet).
The fight animations are top-notch, the fight explanations are very DBZ-esque, and the action is punctuated by some great comedic moments fitting for a One Punch Man homage. And as a bonus, there are no random cutaways to Bulma, King Kai, or Mr. Satan!
I plan on going back and watching the other shorts on the S.L.H. Animations channel. For instance, there are videos for Saitama vs. the Demon Slayer villains, Saitama vs. Genos, and some Dragon Ball Super animations.