phatjack
will 205/60r16 front tyres and 225/60r16 rear tyres be ok?
A bad really idea!! Even if they would go without fouling, the car would handle like crap.
There are limited choices of brands available in the right sizes for 16's for an MR2 (even less available for 15's), but they are still available if you look for them.
You may have to mix brands F/R, but that's ok if tyres with similar specs are used.
As others have said there are more tyre choices around for 17's but they will ride harder.
That's just the way it is with MR2's