@TheSilverBeluga, As you can see from the algs linked by
@Lid, most of these are a combination of the usual parity fixes with other OLL or PLL algs and/or setups. Generally they aren't much shorter, and don't really make the process of fixing parity any nicer. They might save a look but their recognition is harder to start with.
For OLL, I prefer to solve parity first. If there is one edge oriented, I put it at UR and do a B' R' setup first. That way, once you have fixed parity you always have all dedges oriented, and can do a fast OCLL or maybe a COLL. To me that beats learning a bunch of algs that are of similar length to parity plus OCLL anyway.
Likewise for PLL, I also do parity first. If you recognise it as not being a normal PLL, just do opposite PLL parity immediately, then solve whatever PLL comes up. If you do two-sided recognition, or even if you don't, it's tempting just to try PLL first if you think it might be that case; you might get lucky, or you might end up with adjacent PLL parity with its extra setups. That's why I prefer to quickly confirm it's a parity case and do opposite parity first.
It may be worth learning EPLL with parity, especially if you know some COLL or if you ever resort to two look PLL. Again it's not much shorter, but there are only four, and they are quite easy to recognise and execute.
Just my two cents.
