I don't think recommending
The Planets to everyone who mentions Star Wars is the right thing to do, actually.
Instead, try these:
Fourth movement from Symphony No. 1 by Mahler
Finale from Symphony No. 2 by Sibelius
Eine Alpensinfonie by Strauss
Symphony No. 2 by Mahler
Lyra Angelica by Alwyn
Daphnis et Chloe by Ravel
http://www.rhapsody.com/album/ravel-daphnis-et-chloe-la-valse-pavane-pour-une-infante-defunte
I realize it's a long list, but it's a good one, as I always want to start out beginners on the "good stuff" right away instead of the cliches (not to say that most of these pieces aren't well-known, though). I suggest you listen to one work at a time instead of taking it all in because you'll be really overwhelmed if you do. "Sampling" may not always be good; if you want to get into
real classical music, you will have to get over "sampling" and stop looking for the "good" or "famous" parts.
All of these are relatively easy to listen to, powerful/emotional late romantic works (except the last two, which i hope you still listen to) that first grabbed me as i got to know classical music and ultimately helped me to appreciate it. I tried to find pieces with limited use of strings, but then, almost everything that is good has a lot of strings in there. You'll still enjoy it though.
I wish you the best of luck.
