My Bengal, Yeti, is pretty high energy and gets bored, stressed and destructive when he's left to his own devices all day. He also has obstructed once and has had two other episodes of non-obstructive stranguria so needless to say I am trying to manage his boredom and stress levels well (in addition to giving him a canned diet supplemented with additional water).
Anyway, he's a bit of a dry food addict, so I found out rather quickly that a bag of c/d dry + a clicker = Yeti will learn to do pretty much anything and the kibble given one by one as treats means the bag lasts FOREVER. I have him trained now to sit, stand up on rear limbs, give high five, give low five, lay down, "go to sleep" (puts his head down on his paws however he's laying and closes his eyes) play dead, roll over, speak, come, and heel (on the harness outside). He loves people and will often approach people (and dogs, we need to work on that!) at the park when he's on harness. He is in great condition and hasn't had an episode of stranguria since the diet and environmental changes. And he's so much happier too, and tired enough that he isn't pestering the other cats too much or destroying things all day.
I think the next step for us is to get him into doing therapy cat work. He will sit with anyone and cuddle and purr.
...and people say cats can't be trained. 🙂