Larry Hodgson, the author of Houseplants for Dummies, has posted a list of five hosueplants that are  what  goof proof.  Even if you ahve a brown thumb you will be able to grow these in your home.

For example:

Peace lily (Spathiphyllum wallisii): Easy flowering plant
with long lived white flower head and large dark green leaves; bright
light, tolerates low light. keep moderately moist. Average humidity and
normal room temperatures. Normal soil-less mix and houseplant
fertilizer.

phtot courtesy: audreyjm529