Full Moon wo Sagashite, Hoshi no Koe Recommendations
Despite a lot of differences such as VoaDS being a short movie whereas FMwS is a extremely long TV series. Or the dramatic difference in animation quality, VoaDS is noticeably better looking than FMwS. Not to mention the fact that some might view FMwS to target a different audience, they may say FMwS is childish whereas VoaDS is more mature.
It is my humble opinion that a lot of people who liked VoaDS would also like FMwS if they give FMwS a decent try. Note: I myself got turned off FMwS after watching the first ep. However once I got pass the first ep FMwS