The Nebraska case has now been stayed by the Eighth Circuit Court of Appeals.
For those of you keeping score at home, here's the current situation:
35 states (and DC) allow same-sex marriage.
Michigan, Ohio, Kentucky, and Tennessee had their bans upheld by the Sixth Circuit. These are the cases that will be reviewed by the US Supreme Court.
Puerto Rico had its ban upheld; this will be reviewed by the First Circuit Court of Appeals.
In the Fifth Circuit, Texas and Mississippi have federal rulings in favor of same-sex marriage, and Louisiana has one against. The Court of Appeals held hearings two months ago and could rule at any time.
Georgia and North Dakota have cases where all action has been put on hold until the Supreme Court rules.
South Dakota, Nebraska, and Arkansas have federal rulings against their bans, but they are stayed by the Eighth Circuit Court of Appeals, which will hold hearings in May.
Missouri also has a stayed ruling, but due to an independent case the state recognizes marriages performed elsewhere, and a couple of counties are issuing licenses.
Kansas is in one of the circuits where all bans were struck down, but the state government is still refusing to recognize marriages, and only some counties are issuing licenses.
Alabama is a mess with contradictory federal and state court orders. The state seems to still be recognizing marriages, but not issuing licenses.