Depending on what you don’t like about Laphroaig, you shouldn’t write off all Islay whiskys.
It has a strong TCP/ medicinal quality under the heavy smoke, which is fairly Laph. Other Islays are more subtle.
I don’t mind Laphroaig, but currently have a bottle of Bowmore 12, and it is a wonderful experience, smoke is more fireside and bonfire and there isn’t the TCP undertones.
Aside from that and re-treading old ground, have you tried Bourbon?
Sweeter, less intense than scotch, I recommend Makers Mark or Woodford Reserve, both commonly available for £20 (when deals are in place) and are great neat, with ice or mixed (heresy! get buffalo trace for mixing)
One Irish whiskey I have and enjoy is Pogues, seems gimicky but is great.
https://thedropstore.com/collections/irish-whiskey/products/the-pogues-irish-whiskey-40-0-70cl
£16