Of course, as an ACEM trainee, it would be prudent to flick through the EMA each issue, but otherwise, there are plenty of people who post up summaries and reviews of the important publications in our field... including us! (although it is a bit sporadic)
1. Let other people screen the journals for you
These helpful people scan a lot of emergency medicine and critical care journals and will highlight and summarise what they believe to be the most important. You'll probably find that any of the important or landmark papers will be covered by all of them, so really it's a choice depending on the specific field each covers and whether you like their style.
Critical Care Reviews - Sign up for weekly emails with lists of important articles, summaries and associated podcasts
EM lit of note - one man's perspectives on emergency publications (granted an Associate Professor)
Evidence Updates - a service from the BMJ group, provided by the group at McMaster who also brought us the whole EBM thing. Sign up and set your chosen fields of interest, and how interesting the articles have to be, and you'll get regular emails of important publications with variably useful comments from reviewers.
EM abstracts - These guys have been doing it since the 70s, and I find it quaint that they still publish CDs. It's a subscription service, but you might be able to snag the podcasts via iTunes.
2. Let other people summarise the literature on specific topics for you
The skeptic's guide to emergency medicine - publish occasional reviews
3. Let other people find interesting summaries and reviews for you
Life in the fast lane - The pinnacle of FOAM for emergency medicine and critical care, with a lot of online resources publish a weekly review of what's been published in the FOAM world. You'll find links to other people's article reviews and topic summaries sent to you each week
Twitter - A lot of FOAMites are on twitter, and if you follow a few select people, you'll get a whole feed of links to interesting articles. Just follow the #FOAMed hashtag or FOAM highlights is a good start
4. Ask other people what they are reading
What have you been reading recently?
Thanks to Sam Alfred for raising this point and suggesting some of the links above.