We get the Radio Times and TV Times like you do (NI editions) and also several other UK listings magazines.
In terms of the indigenous publications: RTÉ publish the RTÉ Guide, though its turned into a bit of a lifestyles magazine rather than a listings magazine nowadays. There's a picture of the first issue here:
http://www.rte.ie/laweb/brc/brc_1960s.html (it was called the RTV Guide prior to the renaming of Radio Éireann to RTÉ) and the current front page is here:
http://www.rte.ie/arts/ .
http://www.irish-tv.com also has scans of old issues. The RTÉ Guide, as its name suggests, had only RTÉ programme listings until UK listings magazine deregulation.
The competition is TV Now, thinner but more TV focused. The Irish Times and Irish Independent also include the weeks TV listings in their Saturday supplements, as does the Sunday Tribune.
One point to note: Irish TV listings magazines list in detail the four Irish channels, BBC Northern Ireland, UTV, and Channel 4. If Five is listed at all, it is typically in the "Regional Variations" column - or sometimes with the satellite listings - , alongside BBC Wales, ITV1 Wales (typically still captioned HTV) and S4C. Satellite listings tend to lead with Sky One.