Well, since Skip and bigdogdaddy have mentioned Mobil 1 as well, I'll jump back in here. In my first post I just mentioned it as an example suitable to the OP's original question. But since the use of Mobil 1 can sometimes be controversial, I'll jump back in.
Yes, I've heard all the internet pundits say that Mobil 1 is a car oil, not gun oil, and that is doesn't have the necessary rust inhibitors that a true gun oil has, etc., etc. Well, that may or may not be true, but all I can say is that I have been using Mobil 1 synthetic oil for at least ten years on all my guns, and to date, have not experienced any negative issue because of its use. No rust, no jams, no lost lubrication, etc.
I typically use Hoppes 9 or equivalent for a normal cleaning, or Sweet's 7.62 solvent for an ugly copper-fouled rifle bore, then when done, lube with Mobil 1.
Not trying to convert anyone - use what you like - am simply stating my experience with it over the last decade, and then some.