Blood DK was able to use Vampiric Blood, Rune Tap, and a combination of either AMS, IBF, or an External to survive every 100 energy Fel Scythe. Granted they were probably not as good as Guardian Druids (I had swapped to my Druid right before we got to Star Augur to trivialize the last few bosses), but I think Tojara was the first BDK to solo Fel Scythe on progression and he did pretty well.
Also for Gul'dan cheese, if you pop AMS before your Severed Soul comes back to you, you can avoid getting the Sheared Soul healing absorb shield on yourself. Here's an example from last week when we went back in:
https://clips.twitch.tv/SuperBelovedBorkGingerPower
Note that I popped AMS before the Severed Soul went out, and that was a misclick (AMS and VB are ctrl-4 and ctrl-5, respectively), but thankfully the rogue was quick about it. Ideally you would not want to use AMS with your other cooldowns (except Rune Tap) just because it takes care of the entire mechanic if your soakers are quick enough.
Other cheeses: If your AMS absorbs the entire hit from Nightmare Blast on Cenarius, you wouldn't gain another stack of the debuff (or refresh it) and could potentially hold Cenarius for the entirety of P1 (P2 Spear of Nightmare was physical so you couldn't drop your stacks of that). That didn't matter much since BDK sucked dick on Cenarius until the patch (was it 7.0.5 or 7.1.0? I can't remember) where Bone Shield stopped dropping stacks from spells, since before that change you would lose BS stacks on ICD and be forced to spend WAY too many runes on Marrowrend.
If you popped AMS before the Il'gynoth blobs died on Mythic, you could avoid taking the 8 or 10-stack debuff and so wouldn't have to stack. That's not a very important cheese, but the same principle applies to the Bursting debuff in M+ dungeons now.
There plenty of others (besides the ones posted already), but I need to go right now; I might update this post later.