A handy chart from Deutsche Bank Research on sources of funding - focusing on deposits - for euro area banks.
Irish banks are an outlier in the chart, with domestic household and Non-Financial Companies deposits forming second lowest percentage of banks' funding in the entire euro area. As of Q3 2014, Irish banking system remains less deposits-focused and more funded by a combination of other sources, such as the Central Banks, Government deposits and foreign/non-resident deposits.
And the dynamics, post-crisis, are not impressive either: since the onset of the Global Financial Crisis, there has been lots of talk about increasing reliance on deposits for funding banking activities. Ireland's extremely weak banking sector should have been leading this trend. Alas, it does not: