Wingnaprayer
I have a lazy eye - no 3D and under JAR that precludes you from a Class 2 and a Class 1.
You can, however, get an FAA medical right up to Class 1 if you are able to obtain a Statement of Demonstrated Ability (SODA) from an AME - this means doing enough hours to convince an FAA CFI that you have sufficient depth perception to fly and, in particular, land. So, you can still fly with a bad eye.
Things may change in the UK if the ICAO regulations are accepted. I hear that the principle objections to the ICAO route come from, you've guessed it, France.