Denmark, Latvia, and Lithuania are sort of partway in the Euro: they joined ERM II, which guarantees a fixed exchange rate to the Euro. So while they retain separate currencies, those currencies are just alternate units for the Euro, at a fixed conversion, unless they break the peg, and how they rise/fall against other currencies like the dollar or yen is 100% determined by how the Euro moves. Though admittedly it'd be easier to break the peg than to unwind full Euro membership, so the exit strategy is clearer.
I believe Sweden and the UK are the only two non-recent EU members with fully independent, floating currencies.