Apart from visiting the various natural and human made monuments in Burundi, one must take time out to go fishing in Lake Tanganyika, which earned the reputation of being the best fishing lake in the world. It is also worth the time to sit with local performer while they come up with dance and music to go with the frantic rhythms of the drummers.
Another adventure activity is Chimpanzee tracking in Nyungwe forest. This may involve a long and taxing trek and there is also the probability that one may not come across any but the trip brings memories to last a lifetime. However if one does happen to spot any chimpanzees they should have their camera handy as chimps tend disappear quickly.
One can also visit The Cameo where they mostly play French movies but on weekends tend to show relatively new English movies.