Still reading the book Why You Like It: The Science and Culture of Musical Taste (and will be for awhile still). Here's an interesting bit about what music is most likely to give you the chills, and why:
Neuroscientist Eckart Altenmüller ... attributes the rise of music to its potent ability to elicit strong or "chill" emotions within us; music-derived chills may have initially developed to help with auditory perception or memory consolidation, but were later valued for general "aesthetic" feelings of well-being, to forget the hardships of life...
In the new age realm, composers like Yanni, Enya, Mike Oldfield, and Steven Halpern utilize free-floating nonmetric music—usually with limited diatonic harmonies and sustained melodies—to evoke nonmusical themes of inner harmony, the cosmos, nature, and dreams. This is the genre of music you likely heard the last time you got a massage. Ambient music is similarly meditative or "chill"-inducing, although aimed at a decidedly edgier cultural demographic.
This bears out to be true, at least in my case. If you want to conduct a little experiment, here's a playlist of ambient music I made that consistently gives me goosebumps. See if it does for you too.