Tenkuu no Escaflowne, Magic Knight Rayearth Recommendations
Both shows involve girls getting transported to a fantasy realm complete with giant suits of armour. The animation in escaflowne is much nicer however (not to jab at MKR, I love this show) and it is shorter at 26 episodes. So if you liked MKR, give escaflowne a try!
The 3 Rayearth series and the Escaflowne anime and movie both have: girls who get transported to a fantasy-like world, magic, mecha, blond princesses, bishounen, war, action, drama, and romance.
Both are still very nice and enjoyable, even after many years.
Both feature a medieval fantasy setting with mecha. They are also both fairly shoujo, but with the female characters taking charge.