Their are many of the stable coins around, I love transacting mainly on USDT coin, BUSD ( Binance USD coin) Dai, which is a stable coin too with better value especially when using at binance P2P exchange.
As from Google, Wrapped bitcoin (wBTC) is a modified version of bitcoin, equal to it in price, that can be used on Ethereum. Bitcoin is original crypto coin. While Tether, C-Tether, USTD are stable coins which have value equivalent to US$.
The wrapped bitcoin is the hard fork of the bitcoin cash . We have seen the wrapped bitcoin gain popularity but bitcoin and the bitcoin cash does..it has a higher value than the bitcoin.
There are some certain decentralized platforms that it will not allow you to be able to use the naked version of a coin and as such you will need to wrap it before you can be able to trade with it.
The most prominent of all you've mentioned is USDT as this is a more stable coin as compared to the others and it has a value almost equivalent to the value of the US dollar.