If, someday in the far distant future, I decided I could afford to have another horse or two, I've always fancied riding a draft horse. I may even get into driving, but I would probably mostly ride this horse. What is a good draft breed for being under saddle? I would want one that could do trails, responsive (though I've heard they're a little more dull to cues), and have a little agility. I've actually seen quite a few drafts do low jumps, which I thought looked so cool.
Right now, the chances of me ever getting a draft would be low, so I'm not really asking whether or not this is a good idea. Just - which drafts tend to do best under saddle and for what disciplines?