ALL horses benefit from Dressage training and it lays an good foundation. Start there and be sure to get him trotting up hills and over poles on the ground to develop his "ring" and get him balanced.
He will let you know what he wants to do after all of that.
I had a mare.. TB.. bred for Hunter/Jumping. Sent her out and she did it and was pretty over fences but she made in clear she did not LIKE it. I put her on cattle and she ate it up. Loved it.
Train the horse, not the pedigree.