What would be the typical dishes you cook and eat in Ireland?
Well, over the last few days; a beef casserole (with red wine, shallots etc - more or less "French" I guess); pasta with pesto, mushrooms, peppers; Thai green curry; roast lamb with roast potatoes & veg; sirloin with garlic cream potatoes & veg, nut roast with home made potato salad, baked salmon with home made spiced wedges & hollandaise sauce... etc etc
This would be a typical enough sequence for us and many people I know.
The only thing about the above that is Irish or British arguably is the idea of roast potatoes maybe - I'm not sure that it is popular in Poland. Poles may see roast lamb as British or something but it's not - it's just that Poles tend not to eat it - a lot of Europe does however. The "roast dinner" in general is fairly popular I guess but it's not particularly Irish or British - many countries have more or less the same, just not Poland seemingly.
The pesto and Thai stuff aside as it is so obviously "ethnic", everything else will feature garlic and/or a variety of herbs & spices the point being, flavours will be quite strong - within reason. The flavours of lamb, salmon and matured beef/steak are quite strong as they are - or else shouldn't be messed with too much etc - but even they will often be complimented with some kinds of herb/spice etc.
Sure, some more traditional folk (farmers for example) will go for less elaborate or multi-national fare but their meat and two veg type dinners are still more robust and strongly flavoured than I have had in Poland.
Also, of course there are people who for whatever socio-economic reason have bad diets and buy a lot of processed food - but this happens in every country.
my wife likes the cheap stuff
To be perfectly honest, this simple human foible is probably the culprit for a LOT of assumptions in many countries about the quality/flavour of food in other countries.