Another example is Geralt of Rivia, whose entire arc is that he starts out neutral in relation to human matters. He just wants to do his job, killing monsters for money, without getting involved in human conflict.

The few times he gets involved in human conflict, he tries to deal with them in a "stupid neutral" way. He's quoted saying: “Evil is Evil. Lesser, greater, middling… Makes no difference. The degree is arbitary. The definition’s blurred. If I’m to choose between one evil and another… I’d rather not choose at all.”

His character arc is about grappling with the consequences of his neutrality and growing to become a more "good" character.

In terms of his actual monster killing job though, he's always good: It's not a very profitable job, and he'd probably be better off getting a job as a bodyguard (a job which he's refused on several occasions). Additionally, he will refuse to kill good monsters and often kills evil monsters even when the pay isn't worth it.