Well for 6922 or 6DJ8 there are many flavors. Richest by order; RCA, Mullard, Tungsol, Amperex, Toshiba, Chelmer, Siemans, Tele.
My advice with tube rolling is either use the same brand throughout or compliment each choice. For example don;t mix Sieman and Tele. Use a RCA or Mullard in front or after to synergize the sound to your liking.
As far as a favorite it depends on the application. you need to be very carefull with NOS tubes as their character was designated for the dark caps of the day as well as resistors. So what was considerd a great tube back in the day it might not fit with some of the components today.
If I were to choose the 6DJ8 to take to a desert island it would be the MULLARD 188cc or a 1950s Amperex pinched waist. Both rare and expensive which sucks.
As far as modern day 6922 it would be JJ or Chelmer, no Sovteks ever Blah! much to bright. I know my older Audio Research DR 250 used them. Even though the amp was voiced with Sovtek the Amperex and Toshiba solved the problem.
charles