Conversation so far:
Did  The band have a name or was its name The Band?
referred to simply as "the band".
Who were the members?
Robertson.
Where did they play?
on Dylan's Planet Waves album.
What is Dylan's Planet Waves album?
CANNOTANSWER.
Did they have any other albums?
recorded their own album Music from Big Pink (1968), which.
How did Music from Big Pink do?
catapulted them into stardom.
What did they do with the Stardom?
CANNOTANSWER.

Question: What else did the band do?
Self-contained rewrite: Besides being successful after Music from Big Pink's album release, what else did The Band do?