Finalize project: How to go from breadboard to a semi-permanent circuit
Yes, in fact there are some viable prototyping methods between breadboard and custom PCB.  I think you're looking for a STRIPBOARD, which is a board with holes every 0.1", and copper patterns that tie some of the holes together in patterns that accommodate solder connections while allowing DIP chips to be placed without shorting. 

From the wikipedia entry on stripboards:
This shows the back side of a stripboard, where all the soldering is going on.

Many people advise to skip the breadboard stage and move right to these methods, as they're more reliable.

Lastly, don't rule out PCB's -- they can be done at about $5 per square inch in prototyping quantities if you have two or three weeks.