in the Android app, and I believe the iOS app, too, the Activity feeds will allow you to easily find new and old updates to observations you’re following due to identifications and comments.
it won’t show other notifications like mentions, faves, flags, etc., but if you’re just interested in identifications and comments, then that’s a good way to get them in one spot once the BOJ has expired, without having to dig through everything else that pops up on the website home page.
if you don’t have a smartphone or prefer seeing this kind of information on a larger screen, then i made something a couple of weeks ago which may be helpful (at least until notifications have been revamped). see: https://forum.inaturalist.org/t/is-there-an-easy-way-to-open-all-notifications/25913/35.