7 segment LCD works on breadboard, not on stripboard
Two obvious possibilities come to mind:

You messed up the stripboard wiring.  There is not much more we can help with that.  You say there are over 100 wires, so the chance of a screwup, and then not catching it, is high.  A real circuit board is the obvious solution.

Your design left something floating, and it happened to work on the breadboard.  Perhaps there was fortuitous leakage to ground or power in just the right place.  It can take only a few nA of leakage to force a otherwise floating CMOS input high or low.  It may also be that on the breadboard this floating input was more protected, but on the stripboard it couples better to power line hum or whatever.


Either way, it sounds like you have a floating input on the strip board, whether from a wiring error (point 1) or a design error (point 2).  The fact that proximity of your hand changes the symptoms is a strong indication of this.

You have a bug in a circuit, so go diagnose it.  The obvious thing to do is to look at waveforms on a scope to see what isn't right.  I don't know what you expect us to do here.