Answer:
The fuel in fusion (deuterium plus tritium) is transformed into helium, so that is the main waste product. I don't know if a working power plant would try to collect this or just expel it to atmosphere. Apart from that, there will be radioactive isotopes formed in the material surrounding the reaction chamber, which will receive an intense neutron bombardment, and will in fact be the source of thermal energy, transferring this to a coolant. This is as far as I know an unexplained part of the plant, so I'm not sure if this material will last the life of the plant or have to be renewed at intervals, in which case it will become a waste product and will have to be carefully stored, though I guess it won't be as active as fission products from a fission reactor.
In nuclear fission reactors you get a range of fission products some of which are highly active and have long half lives. The fusion reactor material will become activated but what results will depend on precisely what material is used.
Suggest you look at the Wikipedia article on ITER for the most up to date ideas on what a fusion plant might look like.