Currently the strongest line against 1.b3, in my opinion, is the rather strange 4..Bd6:
The Bd6 move looks ridiculous, but it has a very clever idea. In more classical variations where black grabs the center (3..d5 4.Bb5 Bd6) his center may come under attack from moves like f4. While these variations are good for black, Bd6 is somewhat more ambitious, it attempts to take the center while giving white no counterplay against it:
This is done by playing Bd6, 0-0, Re8 bringing the bishop back to f8 and playing d5, when black has the center and has deprived white of their fun in playing against it quickly. Moreover, if white captures on c6, blacks LSB gets freed easily and he has a good position.
Now, the two games I gave above do not show the plan of Re8 Bf8 and d5 unfortunatley, because white has tried to play against it, and black was given other options (such as ..Be5) which are also common.
I wanted to started this thread for advice and analysis regarding responding (as Black) to unusual opening moves by White.
I'll start. What line(s) would be advantageous for Black when responing to, for example:
1.g4
1.b4
1.b3
1.f4
Others?