Well, given your description, I’m not entirely certain what it is exactly that you’re looking for, but I can recommend some of my own favorites to you, you can listen and decide for yourself what you like!
Seamus Kennedy - sort of a Roger Whittaker-ish Irish folk singer whose live shows incorporate a great deal of light, silly comedy. Great deep voice.
The Minstrels of Mayhem - my all-time favorites. They do contemporary versions of Irish traditionals, and some damn good originals, too. They tour the Renaissance Faire circuit, but that particular venue does NOT allow them to really strut their stuff the way their CDs do. If you’re loving the violin, check out their CD Rocky Road - their violinist, Thomas Nuendel, recently left the band, and this is the only CD he’s on, unfortunately. He is AMAZING. Nuendel also has a solo CD that’s more rock-and-roll than traditional, but well worth hunting up. The Minstrels have a website (http://www.minstrelsofmayhem.com) where you can order CDs.
Hair Of The Dog - another band that does Irish folk with a rock sensibility. They’re out of New York. Not spectacular musically, but some great vocals. Definitely look for their versions of The Parting Glass and Come Out Ye Black and Tans.
The Chieftans - been around forever. They do a lot of traditional stuff and most of their more recent recordings feature guest vocalists from Mick Jagger to Alison Krauss.
Great Big Sea - this is an Irish-traditional-inspired band from Newfoundland. A lot of original stuff and sea shanty type music.
Seelie Court, Tourdion, Bounding Main, Old Soles, Celtic Nots - other Celtic flavored bands that have come out of the Renaissance Faire circuit. If you like acapella, check out the Corsairs, too - they do acapella sea shanties and they’re AWESOME.
Masterless Men, Sons of Erin, The Fables, Runrig, Saw Doctors and Shanneygannock - all Newfie bands (I think), and very similar in style to Hair of the Dog and Great Big Sea.
Really traditional stuff: Corries, The Clancy Brothers (with or without Tommy Makem), Dubliners, Mary Black, Natalie McMaster, Wolfe Tones, Stan Rogers (whose version of The Witch of the Westmoreland is, IMHO, the best ever.)
“Punk rock” Celtic: The Pogues and Dropkick Murphys.
If you really don’t like bagpipes, steer clear of the Scottish Rogues and Seven Nations, but if I were you, I’d check 'em out anyway - both made me LOVE bagpipes.
I HATE Enya, but others think she is awesome. YMMV.
Sorry about the lack of links/clips – I’m no good at that – but a Google search on any of the above should yield a ton of resources.