I have them broken down into large genre groups--Classical, Jazz, Pop/Rock, and for Classical it is alphabetical by composer (I have cross reference index for records with multiple composers), the rest by primary performer. I have too many records to go with random. I use a similar approach for CDs (the physical copies anyway), which are all ripped to a server and are more readily accessible because one can search in a number of ways to find the file for the CD on the server.
How do you arrange the order of your records?
I guess some alphabetically. Some by genre. By quality. Etc.
My preference is keeping them randomly arranged. This way I get a nice variety and I don’t have to choose. And it’s always a nice surprise.
I take them out about ten at a time and place them in a dedicated space between my mono blocks.