Thoroughbreds are great, but they definitely aren't for beginner riders.
They tend to be a little more hot-headed and sensitive. They respond to the lightest touch, which is a double edged sword because they are incredibly responsive to your aids but also can hear a leaf crunch from a mile away and think it's going to eat them. They have a finer build than warmbloods, with smaller bones, more refined skinned, long thin legs, necks, and heads, and thin skin. Thin skin is nice because they cool down more quickly after a work out, but they are also more sensitive to flies and other irritants.
They are loyal horses with big hearts. The same competitive, driven, and athletic abilities that make them good racers also make them great jumpers and dressage horses, but especially jumping. They like a challenge.
They tend to be faster horses, with springy trots and big canters. They respond to the lightest touch, for better or for worse.
I have a thoroughbred mare that we got off the track at the age of 5 and turned into a hunter/equitation show horse. She gorgeous and flashy mover. She's a bit flighty and overly responsive to noises, which makes her a horse for experienced riders even at her current age of 19. My mom and I had to really earn her trust. But once you get it, it's harder to lose.
For riders with experience, thoroughbreds are amazing. When I can afford my own horse in the next few years, I will be looking for an off the track thoroughbred.