Which are the forex pairs that you trade that are relatively uncorrelated with each other?

I am a rookie in forex.

I am sticking to forex pairs that are tradable using futures. Are these 3 pairs valid? Any other forex pairs that I miss out?
EURUSR, AUDUSD, USDJPY

 

I believe NZD/JPY uncorrelated with eachother.

 

What do you think of MXN (Mexican Peso) if you compare that to the three you mention?

 

https://www.cmegroup.com/tools-information/quikstrike/cross-correlation.html
Other one is
https://www.mrci.com/special/corr180.php

There are differences between the two. Not sure of MRCI methodology (whether it is just price correlation or return correlation). CME data is also based on 30 day constant maturity futures.