Part of this is a certainty, part of it's an educated guess.
Certainty: Zimmerman's wife, Shellie is absolutely going to be prosecuted for perjury. There is little doubt she lied about the money in Zimmerman's legal defense fund while under oath in a bond hearing. She is under indictment now and has a very good chance of being convicted. The Zimmerman's are not always the sharpest knives in the drawer and Angela Corey is a vindictive b!tch and not one to let bygones be bygones. She's going to get them for something if it hairlips the Pope.
Certainty: Mark O'Mara has already said that he intends to sue the State of Florida and probably Angela Corey personally for prosecutorial misconduct. There is no doubt that the prosecution acted unethically and possibly criminally, they definitely suppressed evidence and may have supborned perjury though that last one would be real hard to prove. They went after Zimmerman knowing full well they had no case at all, I don't know what they call that in Florida but in the Federal system it's appropriately called "Malicious Prosecution" and there are civil remedies for that. Don West, one of Zimmerman's lawyers, after the trial called the prosecution of Zimmerman a disgrace and refused to even shake the prosecutor's hand when it was over. Expect the state of Florida to fork over a big settlement to avoid a trial on that one.
Probibility: Zimmerman's team will sue some news outlets, most probably at least NBC for deliberately doctoring their coverage to make Martin look like a choirboy and Zimmerman a racist baby killer. This is especially true of NBCs editing of the 911 tapes. If they do file a suit like that it's long, long overdue.
Certainty: The Martin family has already won a settlement from the community they and Zimmerman live in and they'll try to sue Zimmerman personally for wrongful death. They can file but Zimmerman has been acquitted and so has no civil liability under Florida law so expect that to be dismissed out of hand.
Certainty: There will be a move to repeal "stand your ground" laws even though they didn't apply in this case. This was a straight up self defense case in which "stand your ground" didn't apply. The laws are popular where they are in place and I don't expect much to happen on that.
Probability: There will not be significant violence. There were a few small fires set in Oakland but other than that things have been quiet. There has been no violence in Sanford or in the rest of Florida. There could be a delayed reaction like the Moody Park riots in Houston which took place a year after the Joe Campos-Torres incident but I don't think that's the way to bet.
Probability: The Justice Department will crawfish on its promise not to go after Zimmerman for civil rights violations even though race obviously played no part in his actions. They've already used your tax dollars to help fund rallies in support of prosecuting Zimmerman in the run up to the trial. I don't expect Zimmerman to be convicted, convictions in cases like this are actually not all that common but he will be vastly inconvenienced.