Build your fantasy rock supergroup

The only real limit is your fantasy and you can even suggest multiple line-up, if you enjoy different stiles. Personally I'm into hard rock and metal and these are my choices:

Vocalist: Ronnie James Dio (Rainbow, Black Sabbath, Dio)
Lead and Rhythm Guitar: Ritchie Blackmore (Deep Purple, Rainbow)
Lead and Rhythm Guitar: Tony Iommi (Black Sabbath)
Bass: Geezler Butler (Black Sabbath)
Drums: Neil Peart (Rush)
Keyboards: Jon Lord (Deep Purple)


Moving to a progressive line-up, I would have an explosive and maybe impossible mix:

Guitar: Robert Fripp (King Crimson)
Bass: Geddy Lee (Rush)
Drums: Bill Bruford (Yes, King Crimson)
Keyboards: Rick Wakeman (Yes)
Violin: Simon House (High Tide)
Sax and flute: Ian McDonald (King Crimson)

Interesting question but hard to separate the singer and the musicians from their bands.
Van Halen was better with David Lee Roth compared to adding Sammy Hagar.
Led Zeppelin and Bad Company were both better than the Firm with Jimmy Page and Paul Rodgers.
Even by your own examples 3 people from the same band each time.
Neil Peart would be a great addition to any band as would Geddy Lee.
However just keep them with Alex Lifeson and that is a fantasy rock super group right there.
Maybe somebody else has some good ideas.

Vocal: (male) Dave Grohl of Foo Fighters, Nirvana; (female) Lzzy Hale of Halestorm
Lead & rhythm guitars: Billy Corgan of Smashing Pumpkins and James Iha of Smashing Pumpkins, A Perfect Circle
Bass: Tim Commerford of Rage Against the Machine
Keys/Piano: Ben Folds of Ben Folds Five/solo artist
Drums: Danny Carey of Tool

Vocals: Nick Drake
Backup Vocals: Enya (lol)
Guitar: David Gilmore
Bass:Billy Sheehan
Piano/keys: Franz Liszt
Drums: John Bonham
Sound Engineer & Composer: Steven Wilson