A good starting point for better Irish Whiskey for bourbon drinkers is Jameson Black Barrel. It’s made using recharred barrels, so you get more of the barrel influence as opposed to the regular Jameson that is just aged in used barrels without any extra charring.
Have you tried Gentleman Jack, Basil Hayden or Angels Envy? Those are all lighter style bourbons/Tennessee whiskeys that are “smoother” than many other bourbons. Obviously, they are still very different from the lighter flavor profile of Irish Whiskey, but I find them to be good recommendations for entry level bourbons for new bourbon drinkers.
I am a lover of all spirits, but I want quality and some age on most of the things I drink. I might have a single malt scotch one night, a bourbon another night, rum the next, etc., etc. It’s all good if you find the right bottles.