If you like smoky peat (I do), try Lagavulin.
It's very nice. You may laugh at this, but I quite like the 18 year old single malt they sell in Lidl from time to time, some people say it looks and tastes like a Tamnavulin 18 year old. Sweet with a hint of smoke in the finish. Their 12 year old is nice too, a hint of iodine, a bit medicinal, at first I didn't like it, but by the time the bottle was half empty (i.e. a week or 10 days later) I had become very fond of it.