Bands that surprisingly moved out of another band's shadow

I think Drive-by Truckers are a great example of this. Your big break through being about about band feels like a recipe to be relegated to second banana status - similar to your big break through being a cover (since covers stopped being expected anyway).

But DBT managed to make it out of Skynyrd"s shadow. Skynyrd will always be a huge part of the DBT story, but it doesn't dominate it like one would have predicted a little under 25 years ago.