I like horses but I think I would be a little afraid to own one. I saw a lady on a talk show once who had gotten her upper lip bitten off by one of her horses. Then of course there was Christopher Reeve...
Maybe a little Shetland pony would be ok or one of those miniature horses meant to be pets.
One time I went to an amusement park as a child and there was this little thing where ponies were tied in a circle and you could ride them lke a carousel except they were real ponies. I was excited and started running up to one and the next thing I knew I was on the ground on my back. I didn't feel it kick me or anything. I was ok, but kind of shocked.