Dudley: Like Gamogo said, you’re throwing Air FB from too high. Dudley can punish that easily with dash punches and MGB. You’re lucky he was either not that good or just didn’t know the matchup properly. In the 2nd, he hit you with his U2 because you were too greedy and wanted to finish him off quickly, so you stuck out a cr. MK after a block string and he saw that coming. You did better by holding back a bit later and he whiffed his EX Jet Uppercut giving you the win.
Ryu: You said in the video description on your youtube page that this guy (Billjmninja) was an HDR player, and it showed - he played Ryu like he probably does in HDR and he got killed for it. He should’ve been using his cr. MK and MP a lot more against you and he didn’t. The win was too easy for you so there’s not much to say about this match except that you need to play better Ryu’s so you can see how you stand in this matchup. The good thing is, you didn’t let him beat you! 
Ibuki: Again, like Gamogo said, you were too keen on using DF’s here when it was unsafe to use them (IE, when she wasn’t knocked down). You also did some unsafe teleports in the intial round that got you in trouble. Your AA was decent though and that was a nice Demon cancel at the end! In the 2nd round, you again started throwing Air FBs from too high and you were fishing too much for that counter hit off the cr. MP. Worse, when you landed the cr. HK for the knockdown, you didn’t pressure with vortex. Cross-up tatsu, cross-up MK or HK, tk air FB and DF Palms/Throws on wakeup are your friend in this matchup. A good Ibuki would’ve been vortexing you to pieces on every knockdown, there’s no reason why you shouldn’t reciprocate with your own. The third round was a mess: he missed all his vortex options but he still go his licks in and killed you. You especially fell for her neckbreakers A LOT!! I get caught by them too sometimes (especially online) so I shouldn’t be preaching to the choir, but at the very least you should’ve learned to block low by the third round… Oh well. Again, you’re lucky this Ibuki user didn’t have their vortex 100% down or it would’ve been a very short 2 rounds match in her favour.
Vega(Claw): Focus attack to beat his diving claws are great, but you gotta alternate it with the occasional AA cr. HP: when timed right, it stuffs wall claws and throws as well. He’ll be less keen to use them to tag you directly and instead will try to confuse you by doing short ones (which you caught with a Demon in the 2nd round, nice!). When you see Vega do his super, teleport away as he jumps off the wall! You can’t block it and that’s why he caught you as you were walking back. That shit does MEGA damage to Akuma and I’m sure you know by now not to get caught by it again. As Gyro mentioned, you missed out on a lot of punish opportunities, not to mention you failed to apply any pressure on him after a knockdown. Vega is one of those characters you just have to pressure when he’s down at every chance you get all he can do to escape is his backflip and that’s sooooooooooo punishable by Akuma, it’s not even funny.
All in all, you didn’t doo too bad. As Gyro said, you’re doing much better with Akuma than when I started playing him (dude, I look at my first vids of me playing Akuma and I cringe at how god awefull I was. Not that I’m awesome now, but I’m at least somewhat average). You gotta try to find better comp and practice up, even if you can only find it online. Stick with the basics (BnB, Vortex, Footsies) at first. Sure you’ll get clobbered a lot, but it’s all towards getting better with your strategies during certain matchups.
The best tutorial videos I’ve seen and that helped me get better are Rugioh’s Footsies vid and Loltima’s Vortex and Akuma 101 vids. The latter especially taught me the importance of punishing with BnB instead of throws or simple sweeps EVERY CHANCE YOU GET! Sure, UT Knockdowns are great, but putting 300 pts of damage (and a KD if you end the BnB with a sweep) to your opponent when he does something stupid serves you better in the long run. Getting max damage for each opportunity is very crucial to any good Akuma’s play.
That’s why guys like LoyalSol, WestAB and Richard N. (to name only a few) have such strong, solid Akumas. They will make you pay dearly for any mistake you do. I wish that someday, I can play my Akuma even just half as good as they do!
EDIT: I can’t believe I forgot to add ShinAkuma204 and LordofUltima as well. Sorry Guys!! 