I should precede this post by saying that I’m not Irish, so my understanding of the system probably has great holes in it, since I’ve only been here for 8 years and was only half paying attention until recently.
The one thing I can predict about this thread is, I don’t think you’re going to get any answers that aren’t utterly jaded about the government. And I predict at least one argument… 
Confining this to the Republic of Ireland - unlike countries with sold two-party systems, Irish politics is more fractured. There are still the Big Two (Fine Gael and Fianna Fáil), but in order for them to form governments, they have to form coalition governments, which tends to dilute their manifesto stance.
My comprehension of the left-right spread is as follows, though I’m sure this’ll be debated over:
Socialists
Sinn Féin
Labour
Fianna Fáil
Fine Gael
Progressive Democrats
Because of the left/right skewing of the US vs European politics, I’d put the PDs close to the Democrats in policy type, thus from your POV there’s nobody as right as the Republican party, apart from some stupid fascist woman from down the country who doesn’t get any votes. I may also be slightly wrong about Fine Gael being further right than Fianna Fáil, based on recent policy history, but the last Fine Gael candidate I spoke to (the late Jim Mitchell, who I kept standing at my door for 30 minutes on crutches; he died of cancer a month later - feel kinda guilty about that) had a very reactionary attitude to immigration - even moreso than Bertie Ahern.
Fianna Fáil is currently in a government alliance with the minority PDs, and as a result they’re skewed rightwards. This means some ongoing privatization and running down of public services, though the entire state is still set up very much on social welfare lines (“Scandinavian ideals with Mediterranean abilities” as a Corkman said to me once) minus the provision of true ‘socialized’ medicine.
Fine Gael actually began life as neo-fascists (the Blue Shirts) but have mellowed rather… I may be wrong but I believe it was they who, when in power, introduced the corporate tax breaks that allowed the Celtic Tiger; Fianna Fáil merely maintained this.
Fianna Fáil are a big corrupt bunch of gits. They’ve a long history of incompetence and working with vested interests for their own benefit, and in the worst cases, taking brown envelopes stuffed with twenties. They also have a recent history of authoritarianism - the smoking ban, etc.
To be honest, I really have a problem finding anyone to vote for. I’m fiscally conservative in many ways (though I’m pro a health service), but socially liberal/libertarian. There are a few independent candidates who I’d support, but they tend to be single-issue.