As a novice, my input isn't helpful, so I'll avoid accidentally giving the wrong advice. Up to now, I've tried to learn by feeling out the characters/games I play for myself except for things like matchup tips. Sorry I can't be helpful.
On that note, here's a video of mine from a couple weeks ago. I have some more recent replays saved that I'm going to throw up eventually, but I've been too lazy. http://www.youtube.com/watch?v=UDy2hvS4EBg
Some things I noticed:
-If the enemy blocks and freezes up, I like to walk them across the screen with Thanatos and grab them. Playing online more has cured me of this, since that's a good way to break a card. But I still do it occasionally.
-I did use the AOA (bad idea already) but I didn't even knock him in the air for AOA>j.B>j.C or AOA>j.A>j.B>236C when I did. Silly me. I've learned to only use Elizabeth's AOA when I'm absolutely sure I won't be punished for it, but... could use some pointers.
-I loooove me some Shuffle Time.
-I don't grab very often. Not sure how useful it really is, but... I just don't do it. I don't know very many combos and haven't yet found a way to combo off the grab because I never use it in the first place.