The last of the 150s the 150M (there were some N's produced but are rare) had the same flap pre-select system as the 152. The non pre-select switch had the switch sprung loaded back to 'neutral' when putting flaps down and 'locked' up when selecting flaps up. This could catch some out when they tried to take a bit of flap off during go-arounds and the whole lot went - ie 40 deg to zero. Happened to a 150 at Sibson in the late 80s, aircraft ended up in the trees, luckily no harm to the solo student.
As for the gear, again it was different on much earlier 150s with the flat spring legs as opposed to the later faired tapered rod setup which was carried through to the 152s.
The first 152s had the same fin/stab attachment brakets as the 150s, there then followed Mks II and III on the 152, the last being a one-piece casting.
If you're talking spin charcteristics the 150M had the same larger fin and longer dorsal fairing as the 152. The 150L and earlier had a shorter fin and rudder and shorter dorsal fin.
Going back further in time there was of course the straight-tailed, fast back (non 'Omni-Vision' windows!) with manual flaps a la Piper.