Building a 100 album vinyl collection 3 must have albums are?

Genesis:

Trespass, Foxtrot, Nursery Cryme, Selling England by the Pound, The Lamb Lies Down on Broadway.

Excellent question and some excellent recommendations already. Here are three jazz lps I love that I didn’t see mentioned yet:

Gil Evans, New Bottle, Old Wine

Ornette Coleman, The Shape of Jazz to Come

Eric Dolphy, Out to Lunch

+1 for previously mentioned Love, Forever Changes

Aja

Dark Side

Kind of Blue

Too easy. A better discussion if you are trying to discover (to some degree) under appreciated albums for a 100 must have list is to ask for 10 albums of a specific type: pop/rock, classic jazz (acoustic), progressive jazz, big band, heavy metal, classical, etc.

I would have included the following for a top 10 that haven't been mentioned (my apologies if I missed an already listed):

Cannonball Adderley - Something' Else (a Miles album in my mind)

Steely Dan - Royal Scam

The Who - Quadrophenia

Jackson Browne - Running on Empty

Alan Parsons - I Robot

Traffic - John Barleycorn Must Die

Boz Scaggs - S/T

Bill Evans - Portrait in Jazz

Pat Metheny Group - S/T

Springsteen - The Wild, the Innocent and the E Street Shuffle

XTC- English Settlement

Kraftwerk - Computer World

Lee Morgan - The Sidewinder

I take it a rap opera would be unsuitable?

OK, serious question: do you care for jazz? classical music? Have to check because some of the best recordings I know are in those genres.