What readily available LP's should I consider

Rushton's choices are superb. If I might just add one more in his folk category (along with the incredible Doc Watson LPs) I would include Eva Cassidy "Songbird" 180g issue on S&P Records (S&P-501).
In the jazz category, Classic Records 180g reissue of Coleman Hawkins "Night Hawk" originally Prestige Swingville 2016

Dirtyragamuffin: I was wondering about the 30th anniversary Pink Floyd "Dark Side of the Moon". I too have an early 1970's pressing. When I purchased my first "real" system -- JVC Integrated, Dual Table, ESS Heil AMT 3 Speakers -- I recall phoning the audio shop asking the name of the lp that I had just heard -- yep, it was "Dark Side of the Moon".
Rushton: I will let ya know my purchases and thoughts. While I'm excited in procuring new lp's to add to my -- archived from my youth -- collection, I'm even more excited waiting to receive, and set-up a recently ordered Galibier Quattro Table, with Tri-Planar Tonearm. With a hunks of cash attached to each foot, it’s safe to say that I'm jumping back into vinyl with both feet.
Nostalgia has set in! Man, am I looking forward to playing some of my vinyl that hasn't seen the light of day for over 2-decades -- it's 'bout time isn't it?

Mrmb, if you've never cleaned your LPs, do yourself a big favor and clean them with either the Disc Doctor (my preference) or Record Research cleaning fluids. Do the same with all the new vinyl you buy BEFORE playing for the first time. With the investment you're making in your TT setup, you'll find this cleaning step very rewarding both in how it keeps your records from developing pops, tick and crackles, and how much better it will make them sound.

Good luck!

Clean them all with Loricraft cleaning machine and you are set.

I also own the new model Tri-Planar arm. It's fantastic. It tracks like nobodys business. How did you decide on your table? Mine is an Avid, which I also like very much. Cartridge? I've got a Lyra Helicon.