My advice for an attending would be different than for an intern. At your stage, you need to solidify and master your EM fundamental core. If you don't have time to read your assigned readings from whatever text you guys are using, pick a good review book like AAEMs board review book (the black one). It will serve two purposes... Reinforce your core knowledge, and help prep you for ITE and your future board exams. If you have trouble sticking to a reading plan, then pick a couple of cases you had during a shift and read related reference material. It will stick better because you associate it with a memorable case/patient. Obviously, you always want to read about whatever is related to your rotation...so if you are MICU that month, the blue book, vent management, anything CCM related, etc.. Always be referencing a procedure source like Roberts and Hedges, etc..
As an attending, you will have mastered most of your EM fundamental knowledge base, so you don't really need to read an EM text per say. Most "real world" learning I do these days is looking something up that I'm interested in either during or after a shift. Most of the times it's related to a case or something I want to understand a little better and want to dig into the details. For me, I use UpToDate to reference a lot of things because it has a lot of detail, is very evidence based and "up to date", doh! It also tracks my CME so I can use it to print out hospital and/or state requirements. I got a subscription for free in residency and used it a lot to look up things during shifts and I still have an account to this day and although I may not use it every shift, I use it often enough that it continues to be relevant.