I'd say the risk of breakup has receded but is far from negligible. It boils down to whether the political will for the centre to prop up the periphery is maintained. Since that is dependent on national governments and their electorates, and not just on some Brussels or Frankfurt bureaucracy, the continuing danger is very real indeed.
Meanwhile, Eurozone banks have very significant problems. The Irish ones in particular have billions of euro in arrears of over 180 days, and that's only counting residential mortgages, not buy-to-lets, SME loans, or anything else. The State can't afford another bailout, either financially or politically, and there is another round of ECB stress tests looming.