Uhu All Purpose Glue is popular for model making where Foamcore Board is used.
PVA Glue is a low toxicity option for craft work.
Glues Sticks offer a convenient way for adhering paper to paper and board.

PVA Adhesive 250ml

PolyVinyl Acetate (PVA) Water Based Adhesive 250ml

UHU All Purpose Adhesive

Crystal Clear Universal Adhesive Glues Many Materials Rapidly and Durably. Its Adhesive Bond Remains Temporarily Correctable and it Does Not Wrinkle Paper.

Celco Glue Sticks

Bond Papers Card Board and Photos Acid Free, Non Toxic Clear and Washable. 8g Size.