On looks alone, imho the 111 is the most 'iconic' looking of these three.
If price is not a factor, then the 312 is hard to get past...
inhouse movement, three days power reserve, date, etc, etc.
For me, the essence of Panerai is functional, stylish simplicity, so it is taking me a while to fully warm up to the autos.
If you get both the 111
and the 312 then you will have a very nice Luminor collection...
Cheers