I do not think there are any PoS cryptocurrencies quite like Bitcoin when it comes to havings and a limited supply.  That whole thing is tied into Bitcoin’s proof-of-work mining structure.

However, some PoS coins do cap the maximum number you can mine.  A few even try to reduce inflation in their own way, just not with the same halving reward thing as Bitcoin.  They might use different systems to increase scarcity over time.  But as far as mimicking Bitcoin’s specific economic model, I cant think of any PoS altcoins doing that so far