As far as I know, it is still being produced. I recently took a cruise on RCCL and the dinnerware in the buffet was all Melamine. I was beginning to think that they should have extended the plastics to the drink glasses when a lady smashed her glass on the elevator door and it broke into pieces into the threshold as the elevator door closed and proceeded to another floor. (She walked off in embarrassment, we reported it).
It shouldn’t be a problem unless you are grinding it up and putting it into the cereal, like the additives for cat food recently. I liked the bowls growing up, but hated the dinner plates because they got knife marks in them that stained forever and looked ugly.
If you want to be extra careful, don’t microwave or heat it, but cold cereal should be fine. Just don’t chew on those decals on the old jelly jar glasses. Bet you had those as well! I have often wondered in these days of recycling why they don’t bring the non-lead ones back. Remember the dishes in Duz detergent (or was that a Southern thing)?