Let's start with epoxies.
"Low Quality" Epoxy
Low quality epoxy is the term I give to epoxies found at most hardware stores. Many of these are in disposable syringes or squeeze bottles. "Low-Quality" epoxies are mixed in a 1-1 ratio of resin to hardener. Fillers are added in the manufacturing process to achieve this 1-1 ratio. These added fillers decrease breaking strength and thicken the epoxy.
I have a set of BSI 8oz epoxies and use them quite often. The BSI epoxies come in 5minute, 15 minute, 30 minute and 20 minute (laminating). 5min is excellent for quickly "tacking" parts together or field repairs. 30minute works fine for fillets and has been my most used epoxy so far.
Even with the decreased strength these epoxies are perfect for almost any application. The bond well to almost any surface and are decently durable.
Epoxy like this is a must for any workshop.
Use for: Fiberglass, cardboard, Phenolic, Balsa, Most Plastics, and metals. 20min laminating epoxy is acceptable for small fiberglass layups.
DO Not use for: Parts requiring very high structural strength, very high heat applications.
"High Quality" Epoxy
"High Quality" Epoxy is more difficult to come by. You will not find it at most hardware stores and is usually ordered online. High quality epoxy is usually meant for fiberglass and carbon fiber layups. It is usually not mixed in a 1-1 ratio (with the exception of Aeropoxy). "HQ" Epoxy is typically sold by the quart or the gallon, rather then by the ounce. Most of these epoxies have a low viscosity and are ideal for soaking into parts. Many Higher-end epoxies are around 4 times stronger then the epoxy above (source.)
These epoxies can often be thickened with an additive such as Phenolic Microballoons, Colloidal silica, or even carbon fiber. With these fillers the epoxy can be used to create smooth fillets.
Manufacturers include:
West Systems
Aeropoxy
US Composites
and many more
Use for: Everything
Do NOT use for: Applications that are under intense heat.
Wood Glue
Surprisingly, wood glue is one of the strongest adhesives for wood-wood and wood-paper applications. Using wood glue on wood-wood joints is usually stronger then high quality epoxy. Wood glue works by soaking into the wood and hardening, this binds the wood together in a bond that will usually outlast the things being glued. I use wood glue for all of my engine mount assemblies and fin attachment. Wood glue shrinks as it dries so it should never be used for fillets. Woodglue should never be used on anything other then wood and paper. It will not bond to things like fiberglass, metal, or plastic. Besides that, it's great. You can work with it with your hands and washes off with a little water.
Use for: Wood, paper
Do NOT use for: plastic, fillets, fiberglass, metals,