what i consider "Giants leaps for Mankind"
Replacement for Fossil Fuels
Eradication of diseases (cancer aids...etc)
no offense, sounds like you majored in social studies or something.
Though I agree some of the ideas you threw up there would be big achievements
wireless power - never heard of nikola tesla? the idea was scrapped because there is no way of keeping track of usage. check. (edit: actually in this case earth is the conductor so not true wireless power. there is however, something similar aka lightning strike. GL controlling that.)
replacement for fossil fuels - already exists, check.
fusion technology - already exists, check
alien contact - will be made possible if neutrino experiment is proven, check
World Hunger - solving world hunger would be possible if people weren't driven by self-interests. Also Improvements in technology can solve this, nuclear warfare can solve this. I think this is another subject that belongs to another discussion.
Eradication of diseases - leave this to the bio-tech department, check.
what else you got :p