safariblade, Ok. I'll see what I can do. I'll send you some track names and YouTube links. They might not be available in the US, so let me know if they're not! ^_^
The A Team by Ed Sheeran
Massive artist in the UK, he knows how to make something modern, but still chilled.
Not Going Home by Faithless
You probably know these legends already. Classed as dance, but I think some of their stuff can fit into the 'chilled' category. Sadly they split up last year.
Somewhere Only We Know by Keane
Keane - They've drifted from their good stuff, but their earliest work is good and I guess relaxing.
The Man Who Can't Be Moved by The Script
This is more of that good stuff that's a few years old, but still going strong.
The Reason by Hoobastank
Maybe a bit powerful in places, but generally quite gentle and still neat.
Jar of Hearts by Christina Perri
This has recently surged in popularity in the UK. Maybe the thing you're looking for.
Hope you like one or two of these! ;3