I'm not a huge appy fan, but...
Fresian are beautiful animals, if your doing dressage or that type of activity. They are pretty pricey.
Thoroughbreds depends on the horse, I've met some that are really high strung, others that were great, and others that were dumb as stumps.
Warmbloods is truely a horse by horse personality. I've loved most of the Arabians (both full and Part) that I've owned, none of them were "high strung" but I made sure of that before buying them. They are pretty intelligent but they are spirited so if your an absolute beginner than I suggest finding an older horse that is calmer.
Quarter horses - I've loved some, and hated others.
The one thing about horses is that they differ so much in personality traits even with in any certain breed. Depending on your experience level I suggest getting an older horse that's pretty much been there done that and is easier to deal with. If your more experienced a young horse (2 to 6 years of age) still tend to be pretty spirited and it can certainly be a learning experience for both, but can be lots of fun.
Katie
Ht. 5'2 HW 234/GW 150/LW 128/CW 132 Size 18/20 to a size 4 in 9 months!