I don't think there are any altcoins that are exactly like bitcoin in this regard but check out ADA and ALGO. While these coins don't have a direct halving mechanism like Bitcoin, they are similar due to their fixed supply and PoS consensus.

Cardano (ADA) has a Supply Limit of 45 billion ADA, its Consensus Mechanism is Ouroboros PoS and while there is no explicit halving, the reward distribution decreases over time.

For Algorand (ALGO), there is a Supply Limit of 10 billion ALGO, its Consensus Mechanism is Pure PoS and while there is No explicit halving, the rewards decrease over time.