I occasionally mix ATF, Moly grease and a touch of synthetic motor oil for DH's Super Lube! lol
Not super specific, 1 part grease, .5 part of other products.
I occasionally use the grease for corrosion protection, but still think CLP is the best in that regard.
Using pure synthetic oil has shown that it lubes well, but doesn't protect in high demand environments. I have a rusted up Ruger 10-22 to prove it. Stored in a storage rental locker, wiped down with Mobil 1, didn't do diddly. The other guns that were CLP or greased, looked great.
White lithium grease on my Mosins that I bought at Lowes.
I don't use it anymore but for YEARS my Dad and I used 3 in 1 oil on our shotguns. He's got a Remington 870 Wingmaster that is about 45 years old, it's in better shape than allot of guns you see sitting on a dealer's wall!