Make sure your portfolio reflects the work you like and want to do, rather than the boring stuff you do on the daily. If that’s missing, get ready to dedicate some time to making a body of work. Be sure to include rationals or process as well. Let’s potential employers know you can think your way through a project.
This. If I'm hiring a designer for branding work, I'm hiring someone proficient in branding. I need illustration work? I'm hiring an illustrator. If I need a photo retoucher, I'm hiring a hardcore retoucher.
Being a jack-of-all-trades is cool. But most of the time, anyone hiring a designer is hiring them for their one specific skill that they do better than anyone else.
I think most people would rather hire someone who’s average skill wise, but gets along well with others than some egotistical superstar designer.
An ego is the first thing to get you fired or blacklisted. I've met plenty of bungholes who were great designers, but couldn't take feedback and wouldn't do what was asked because they think they're right. Thick skin is needed in this industry, but remember, it's about the work, not your ego.
To add - there's a fine line between defending your work and the integrity of the work and being an arrogant asshole. I respect someone with a POV for their work (and can defend it by showing it) rather than someone who will just say flat out say "no." Like, I hired you. If you don't want to take my feedback and do the work, I'll find someone just as qualified that will collaborate and find a way to make the work work.
Also make sure your website/portfolio is well designed and by that I don’t mean super flashy, but make sure images are hi-res, basic design stuff like alignment and consistency, etc. I was involved in hiring at the last place I worked and I was amazed at the amount of basic inconsistencies I saw.
I tell designers this all the time. Never underestimate the power of Squarespace and or CargoCollective. If you can't code/design your own site, that's fine. So long as the work is presented well. I know tons of designers/illustrators that use stock sites. But just make sure the work is presented best foot forward.