Bunch of motions in here
http://gzlegalcase.com/index.php/court-documents/168-state-motions-may-2013
Let's see if I can get a short list in here before MJW beats me to it.
Motion to preclude defense bringing up the penalty for the charged crime, during closing argument
Motion to preclude defense bringing up Martin's past (school suspension, use of pot, ever been in a fight, contents of social media, wore gold grill, any school records, text messages before 26 Feb, text messages on 26 Feb unless admitted by court after hearing)
Motion to preclude defense eliciting opinion as to Zimmerman innocence (I think this is aimed at preventing SPD and others from testifying they lacked probable cause)
Motion to exclude toxicology report. Bernardo specifies the low-level pot report, and does not refer to any other report.
Motion to preclude defense from eliciting testimony or mentioning to the effect that the state's failure to call certain witnesses is because those witnesses were not favorable to the state.
Motion to preclude defense from eliciting testimony as to hearsay statements by Zimmerman to witnesses. I don't have a quick thought as to what hearsay by Zimmerman might be involved. Maybe that Martin was "acting suspiciously" where the conclusion (acting suspiciously) is hearsay, but I think that argument fails. In general, I think this motion is the state trying to force Zimmerman to take the stand.
The state objects to O'Mara's requires for a Frye hearing, and the state asserts (without producing any evidence) that their audio experts pass the Frye test.
The state seeks an order compelling defense to comply with discovery rules, and cites an example of a defense witness who testified having produced a map for the defense, but the defense was unable to produce the map; and another example where a defense witness had given a video recorded statement to defense counsel, but defense counsel didn't provide the recording to the state until the day of state deposing the witness - now state will depose the witness again; and a third example where defense provided reports that its witnesses would testify about, moments before those witnesses were deposed by the state.