Not sure how long it takes but begonias are really easy! You just break a bit off and stick it in some dirt
If I can grow that, anyone can! You can also cut the tops off lucky bamboo and sit them in water until they root. Or succulents - take a leaf or cutting let it callous(sp?) then stick it in dirt - I even forgot about a leaf for a few weeks and found it the other day with roots so I stuck it some dirt. I don't know the names of others that I have tried sorry.
I am trying a mulberry cutting in water at the moment, a week later and it still doesn't have roots. Not sure if I should have waited until it finished fruiting though
You could always pull the top out of a pineapple
Tastes so yummy when you grow it yourself