For reference if it helps, here's the list from... wow page 18, while back, of roughly what I did between rank 6 and rank 7:
"from 6 to 7, rough:
-did all abyssea quests/fame/abyssites/all but one atma (had no abyssea fame before
-went from around 620 titles to 744 titles
-went from around 750~ roe complete to 904 RoE complete
-completed voidwatch, didn't have provenance watcher kill before I started grinding. Still missing lots of periapt/atmacite
-completed limbus: got titles from proto-omega/ultima and arch-ultima. already had arch-omega title
-beat a lot of weak unms I didn't have before as part of the roe clears. Already tumult curator cleared since before grinding this out
-learned quite a few (10+) spells that I didn't know before. Mostly ninja ones that i just skipped. still missing 1 spell
-capped pld staff skill as the last skill I needed capped
-unlocked at least 2 or 3 more survival guides and homepoints, and a lot of the protoway points (only had like 4 of these before) to have all of each unlocked
-completed the shantotto ascension addon as my last addon missions
-started raising a chocobo, it is adolescent now, so no racing done or anything
-might have gotten 1 or 2 more monster rearing mementos since starting. I was already doing these as a hobby so I've been close to done for a while
-leveled monster rearing tiger from 30~ to 75 to unlock the coeurl. didnt really level the coeurl much. (the start of unlocking species)
That's all I can think of at the moment. I'm sure it would have been more enlightening if I started at 5 and went to 6 and then to 7, but we shall see
I'm not stopping btw, so let's see what I can accomplish between now and a rank 8!
edit: 2 more things I remember, for the vorseals one was the expeditionary force, and one was completing odin II"
Which basically follows the trend of "just do a bunch of stuff"