With game assets what you'll probably find is that even tokenised you won't own the asset itself and it'll be pretty strongly licensed. For example like Meebits are: https://meebits.larvalabs.com/meebits/termsandconditions

So the likelihood of an item living on in another game could be quite tenuous. Not least because you have to hope the game developer supports your items and there isn't a strong incentive to do that.

The other side of it is whether these will have any meaning beyond being a nice reminder. In that sense you don't really need a token but to own your own data about the game. In this sense we can already see people holding onto the meaning of their previous gaming adventures, through maintaining friendships, keeping screenshots, diaries and other media about them and so on.