New alkenes, aziridines, and diamines were prepared from antiprotozoal 4-dialkylaminobicyclo[2.2.2]octan-2-imines to investigate the influence of several functional groups in position 2 of the ring skeleton on the antitrypanosomal and antiplasmodial activities. They were synthesized from 4-dialkylaminobicyclo[2.2.2]octan-2-imines and tested for their activities against Trypanosoma b. rhodesiense and Plasmodium falciparum $K_1$ (resistant to chloroquine and pyrimethamine) using in vitro microplate assays. 4-Aminobicyclo[2.2.2]oct-2-enes and 3-azatricyclo[$3.2.2.0^{2,4}$]nonylamines exhibit similar antiprotozoal activities as 4-aminobicyclo[2.2.2] octanes. 4-Aminobicyclo[2.2.2]oct-2-ylamines and their N-benzyl derivatives showed decreased antiplasmodial but enhanced antitrypanosomal ($IC_{50};=;0.22-0.41;{mu}M$) activities compared to their parent oximes and to formerly synthesized 4-amino-2-azabicyclo[3.2.2]nonanes. Some of the 4-aminobicyclo[2.2.2]oct-2-ylamines exhibit moderate in vivo activity in mice against Trypanosoma brucei brucei.