That question may take several books to address and the result would still be far off the mark!
It will very much depend on who you are talking to and where you are. There is a broad spectrum of beliefs; religion, politics, culture, and can vary widely from door to door, house to house, street to street. There are few monolithic blocks where similar opinions would be held throughout the entire area.
If you are in West Tyrone or South Armagh (‘border’ counties) you’ll probably notice little difference in cultural behaviour and attitude than with similar rural areas in the South. (with the exception of a noticeable anti-Britishness which, whilst still existing, you may not even be aware of in many Southern counties. Obviously it is a little more raw in areas still ‘technically’ seen as under British rule.) Gaelic games dominate the sporting agenda, pubs and music the social agenda much like many areas in the south.
Staunchly ‘conservative’ areas like East Belfast or North Antrim would perhaps have a different feel in attitude and culture to most places in the South, and to the aforementioned places in the North too. Although this may be due to being more consistently made up of urban centres rather than rural centres like the West.
OTOH, I think both communities live very similar lives day to day, then drag out and exaggerate the cultural baggage when it is politically expedient. Unless you really question people on their religious and political beliefs, there will be a much more noticeable difference of attitude between urban and rural communities than between Catholic and Protestant communities, IMHO.
(And, sorry, but the above is probably totally vague and rather meaningless commentary too…)
Countryside is mainly farmed land with sporadic groves of trees throughout. It has 40 shades of green, according to the song. The coast is scattered with the remains of castles (I like Dunluce on the North Antrim coast). I spent a lot of summers as a kid in Dunfanaghy in Donegal, near Horn Head. As sights to visit, a lot of views and cliffs / mountain heads etc… may be considered too similar or repetitive to wish to visit them all. I’ll list a few places of interest from the Northern counties: The Giants causeway, The Carrick-a-rede rope bridge, Marble-Arch caves, the Torr Head road - lovely drive on a good day.
The good thing about these is that you could do most of them in a single day - leaves more time for pub visitation!
I’ll leave the delights of Dublin and beyond for the Dub-Dopers to describe…