I've run both the garret and the Aero, here's the differences-
Aero- Pros- faster spool because the vane angles are adjustable, you can adjust for quicker spool or better top end. The aerocharger doesn't need oil circulating through it, it is self contained like a supercharger, you just fill it and check it every now and then.
Cons- The aero makes nasty heat. Mine used to heat soak the motor and intake very quickly. Intake temps would be very high, very fast. So I started injecting fuel at the turbo, it has a nozzle for a fuel injector, and that helped, but not enough to avoid having to run high octane and tune the motor rich to avoid deto. The aero, even when adjusted for max top end, will never pull as hard on the top as a Mitsu or garret turbo. They need more psi to make the same amount of power as an automotive turbo. Finally, the aero's, like Leif said, are expensive to rebuild and EASY to blow up. If you send a flake of piston or cylinder through your exhaust, it's a $1000 rebuild. I did it twice in a season before getting fed up with the aero. If you are going to run one, make sure to install a nice exhaust screen before the turbo.
Garret- Pros- better top end power, half the cost ($2000 for the small Aero 53, around $2300 if I remember correctly for the bigger Aero 66) and easier to adjust boost than the Aero
Cons- The garrett needs oil circulating, so you have to (1)use an auxilarry electric oil pump or (2)use your motor's oil pump AKA the Twisted Turbo kits, and eliminate your oil injection. Also, the ball-bearing ceramic-cartridge garrets are very sensitive to oil pressure, too much can easily blow the seals. You will also need to run an oil tank and lines. Most of the garret turbos are designed to use antifreeze to help cool the turbo, but most of the 2-stroke turbo kits using garret turbos have elected to plug the coolant lines. The yamaha 4-stroke kits use these coolant lines and I believe it helps alot with cooling and turbo life.
I am not saying the Aero doesn't work well, because it can. It just takes money and patience. Happy to answer any other questions