After some extended play time with Doomsday now I've got some random tips in certain match ups. Most of it I havent extensivly tested in practice mode but it happened online more then a few times.
Again, just a disclaimer, this is just experience from online matches, I dont think I've really played any super pro players, and everyones still learning things, I could be totally wrong about some of this stuff.
vs. Aquaman his d2 will clean snuff out Supernova on the way down. I actually didnt even realize this could be anti aired so easily until an Aquaman player was knocking me out of it every time. This was MB version so I'm goin to assume regular would be the same. Because of this I'm going to assume any anti air with an extended hitbotx is gonna stop it. Needs some looking into. Rule of thumb, dont jump in on Aquaman without a knockdown. (this is basically true with everyone with a good antiair) Your d1 when close seems very strong because I'm assuming it's faster then anything AQMs got. He's pretty free on wakeup and that's great for Doomsday. So this match up is a little tough on neatrul game, but if you can knock him down he's guessing all day. I'd say it's an ever matchup in the long run.
vs Doomsday, in a Supernova trade the first doomsday to jump up will beat out the second one. Careful with jumping in this matchup as well, DD has strong anti airs imo.
vs. Sinistro, in most cases against zoners I like MB supernova, but Sinistro's meteor will actually shut it down, so be careful. It's useful but you can't be mindless with it.
vs. Ares, you can punish teleport with the anti air venom on reaction.
And finally vs. Nightwing. Personally I think Doomsday is a very strong character who actually doesnt have many bad matchups because of all his tools. If he has a bad one at all I think this is one of them. Staff stance's range and frame advantage is tough to deal with and because he has so many multi hitting quick options armor doesnt help very often. His ground pound projectile is also really fast and will beat out a supernova on start up. Glowstick stance isnt has bad, but if he's using them right the air projectile is annoying for sure. Nightwings tend to jump alot (he's jumping 3 is awesome so I dont blame them) so anti-air like a champ and be a bit more patient.