I'm a big fan of Deep Purple and know almost everything from their catalogue until the 90s.
About Cream and Free I know only one song each.
3 great acts in rock history for sure... Oh wait, 4 with Thin Lizzy 😁 Jailbreak is a banger! I love Phil Lynott's style
I'm glad you like the selection. I deliberately didn't want to pick their greatest hits, but in the end, you realize they are such great musicians that it doesn't matter what you choose. It's all exceptional.