I would like to own a Pikachu and a Persian. They both seem to be well minded Pokemon, and would like to have them around as pets, and not to train.
To train I would like to have a Blaziken - as the head of the team. Pidgeotto - for aerial battle, and to fly me to towns, I need to be flown to. Glaceon - Because they would be helpful in battle, when battling in water, environments. Raichu - Great for battles against Pokemon, that don't fare well with lightning, attacks, and a well rounded Pokemon. Grovyle - Great for speed and agility, and would work well against rock and water Pokemon. Blastoise - Could use to get across, oceans, and would work well against, rock type of Pokemon.
So that's the type of Pokemon I would want. Can't wait to see what others want. :)