ok my way of getting into metal was starting out with classic metal and softer thrash, listen to, Megadeth, metallica, slayer (mabye a bit to heavy) the older the albums the better. Try these:

One of My Favourite Metal Songs Of All time -- Metallica
YouTube - Metallica Ride The Lightning

YouTube - Metallica - Sad But True

YouTube - Metallica - One -- Amazing

YouTube - metallica - nothing else matters

YouTube - Metallica - Master Of Puppets With lyrics

Good, Soft Songs -- Megadeth
YouTube - Sweating Bullets - Megadeth

YouTube - MEGADETH--99 Ways To Die

YouTube - Megadeth - Sleepwalker

YouTube - Megadeth - Train of Consequences

YouTube - Megadeth - Kill The King - [Prince of Persia] AMV


enjoy, hope this was helpful