I've found that most people, even outside of IT are lacking a handful of soft skills. Three soft skills I would recommend starting with:
Business Writing. We spend all day writing emails, reports, memos, business cases, documentation. Should spend at least a few hours improving how eloquently you write. There is nothing worse than seeing someone write a 10 page document that could have been a 4 sentence email. Learning just a few rules will improve your writing immensely, like how to use lists/bullet points, passive/active voice, headings and subheadings. (Would recommend reading: https://www.amazon.com/HBR-Guide-Better-Business-Writing/dp/142218403X)
How to organise a project. This is a skill that I think more people need. Being able to identify a goal(s)/objective(s) and work towards them. Making sure that things are delivered on time, all relevant parties have been communicated to and stakeholders have been appropriately managed. I don't have a book for this one. Just google how to write a project brief, a WBS and then work backwards from there?
The last one, I don't know how to describe. Generally how to interact with people. This is probably the book I would buy for every IT person if I could. https://www.amazon.com/How-Win-Friends-Influence-People/dp/0671027034/