There really isn't a whole lot to these games, but then, there doesn't have to be. You grab good objects, and you avoid bad objects. The better your coordination and reflexes, the longer you will last, until things get really insane. Those are the elements of a simple, fun video game, and they work well enough here. No, Taz and Asterix won't win awards for ground-breaking originality, and they won't satisfy gamers looking for variety or complexity, but as "twitch" games that can provide entertainment for a few minutes at a time, these do just fine.
The concept of objects wizzing by as the hero hopscotches after them makes a lot more sense for the Tasmanian Devil than it does for Asterix and Obelix. Anyone who has watched their fair share of Looney Toons won't see any problem with flying food and dynamite. Less obvious is why cauldrons and shields and the like would have to be chased, especially after the apparent defeat of the army that owned those items. Still, the game works, as long as you don't think too much about how Asterix and Obelix got into their predicament.
Grade for Taz: B+. Grade for Asterix: B.