I own many of the LPs suggested and agree they are great records. However, my criteria for 3 must have LPs would need to take into account how they actually sound of a good system. Many of the LPs I grew up loving, get very little play today as they just weren't recorded very well to start with. So classic LP's that also sound great:
Junior Wells - Come On In This House
Joshua Redman - Elastic (/Brain Blade's drumming is fantastic throughout)
Jimmy Smith - Dot Com Blues