While not a journal in the sense you probably meant, I highly recommend EMRAPs. It's an audio series that is perfect for residents.
The really good news is that a subscription to it is free for EMRA members. As an EM resident, you really should be a member. If you're program doesn't include membership, I'd highly recommend joining on your own. You also get EMAbstracts, another audio series that does a great job of following literature relevant to EM.
If you don't have much use for audio programs, I'd take a look at Critical Decisions in EM from ACEP and Evidence Based Practice in Emergency Medicine. Both monthly series that are outstanding.
You'll get Annals of Emergency Medicine with your ACEP membership (you really should join) and Academic Emergency Medicine if you join SAEM.
Take care,
Jeff