the weapon tickets along wif monster coins are for creating black belt and expert weapons among other things. they're also ingredients for maiden's/personal equipments, with the + and 'S' upgrades requiring guild, jewel and/or egg tickets (female version, i think the male one's called guild something or other).
the various colours of shinobi equipments require guild tickets. egg tickets as above among other things. old lady's note is for creating a kitchen knife(weapon) which can be upgraded. hunter's citation is for upgrading hero's blade to master's blade, and eventually to legendary blade(duals) with old chief's sword. pawprint stamp's for equips like catspaw and stuff. basically those tickets are for creating various equips much like wyvren parts. correct me if i got any of em wrong.

those armors and weapons usually not that good
not say useless but not the best out there