As I mentioned before, magnetic toys have a hazard beyond choking. If one magnet is successfully swallowed, no problem, it'll come out again in the usual way. If more than one is swallowed (or one magnet and one or more ferrous materials), then it can result in an intestinal blockage.
Sorry, I meant to say that there's a low risk of choking *or* swallowing with the sets I mentioned (apart from the bingo chips). The floating discs and "marbles" are both a little more than 1.25" in diameter, so they don't fit through a standard testing tube. As for swallowing them, I'm not sure anyone smaller than an elephant could manage that.
For magnets that are actually advertised for babies and toddlers, GeoMag GBaby is the best option I know of. I think FatBrain has them.
Edited to add: FatBrain also has Magneatos Jumbo and SmartMax construction toys, which are safe for the younger set. I'm very tempted to add one of these to our collection!
