You might want to check out the Saddlebred... More and more of them are coming out of the woodworks now as sporthorses and doing well. (During the US Civil War they were prized as calvary mounts for their bravery, athleticism, smooth ride, brains and tempement, they also have a history in puissance jumping)
They tend to be less hot horse than a TB (they can sure look fired up... But they really aren't that way to handle), and less expensive than a European WB. They often have the conformation to make great jumpers (or dressage horses) and the temperment and willingness to try their heart out. They really range in height... But many seem to be on the tall side.
If you have the ability to do some training, you can find them for $1000-$2500... If you need a horse already well started for jumping/hunters/dressage (many of them start their life as Saddleseat horses so require retraining to use themselves correctly for other disciplines) then you might be looking $2500-$7500+ (depending on what level of riding you want to do and how much show experience the horse has)
Another little thought of breed that can make excellent jumpers is the Standardbred... Many ex-Trotters (and some ex-Pacers) make absolutely fabulous jumpers. They are often on the taller side, and can be quite substantial bodied. They usually have amazing temperments and due to the fact they are usually started for sulky racing, pretty unflappable too. They can often be found for $500-$2500, and while you might need to do some retraining, you can often find rehabilitation centers that have already done this for you, and you just will need to put a bit of polish on their training. The races are split into Trotters (who trot in harness) and Pacers (who pace in harness) (Ex-Pacers can be more challenging to switch into other disciplines as they tend to pace rather than trot, and can have more difficulty cantering because they move too laterally, though I have seen a number of ex-Pacers doing hunter/jumpers and holding their own... if you look at Standardbreds as an option and aren't wanting a real project, look for ones who were Trotters and have already been restarted for saddle work)
Draft crosses can be excellent jumpers, some aren't that heavy bodied, and even ones who are can also be quite athletic. I know of quite a few that are doing very well as 1m+ jumpers... You might find the pricetag on them is higher, $5000+, depending on what they are crossed with and how successful the horse actually is though. You can certainly find them for less, but if you are set on wanting to go a certain height, then look first at ones already doing that height and have a full PPE done by a vet you trust.
Established (trained and showing) horses are often more expensive in any breed, the exceptions being when they start to get older, are having some soundness issues, or have just totally maxed out for ability - something to keep in mind.