There are two kinds of andalusians, “jerezano” the more “baroque” type, that were bred for “high school” demonstrations and driving, were not really some of the lighter horses out there, athletic in a more restricted way and “cartujano” the other type, bred by the monks, that were more the lighter riding type to get around and get things done horseback.
Those were crossed back and forth by some breeders, others tried to stay with one or the other type, but remember, those were small numbers of breeders.
My cousin had a cartujano mare that she competed in jumping and endurance with, so those strains are as athletic as many other light horses out there, although it won’t look like the heavier set jerezanos out there, that so many think is what andalusians ought to look like.
There is a trade off, just as a heavy set wrestler won’t generally make a good marathon runner, your jerezano andalusian won’t really be good at endurance, but will at measured trot pulling a cart forever, or demonstrating “high school” movements.
Maybe you could look for one of those lighter andalusians?