For me, any job would be in conflict with my values as an anarchist, as it would only be something I did due to the economic constraints of capitalism. As such, it is hard to say what is most "compatible" with being an anarchist.
Some of the jobs I see anarchists holdling commonly include: working in social services (homeless or dv shelters & drop-ins, etc), non-profits (environmental/human rights oriented stuff), healthcare (alternative medicine, nurses, EMT's, etc), education & childcare (pre-school teachers, nannies, the dreaded ivory tower...), tech industry (programmers and whatever else people int he tech industry do), food service (kitchen, waitstaff, delivery), bike messengers, sex work, and crime.
I used to know a lot more folks who did union work (either they saw working in a unionized industry as connected to their anarchism, or they worked as union organizers), but that was a long time ago at this point. Not that they aren't out there (I have friends who still do this stuff), but I think the idea of organized labor as somehow being anything other than another locus of recuperation to capital is pretty well dead.
The two common threads I see are people choosing roles where they can at least feel good about how their work impacts other people, or choosing employment where they have a relative degree of freedom (either because the job is disposable or because they have a lot of freedom/autonomy to define their limits of their role, the hours, are their own boss, or operate beyond any legal oversight). Honestly, in my opinion none of these potential benefits means that you aren't still trading in your freedom for a certain degree of capitalist-provided comfort.