You could do wire wrapping like nasa still does; there will definitely be a high quality tutorial somewhere. Or if building a squashed bug circuit you could use

You could do wire wrapping like nasa still does; there will definitely be a high quality tutorial somewhere. Or if building a squashed bug circuit you could use crimps (with or w/o the insulator to be pretty) But besides breadboards you're kinda stuck with facilitating a clean soldering setup, which is fairly easy - if you're really worried build a gloved-box. I just wear a respirator and open a window