I think the most important piece of advice you can get is to have a "system" and stick with it
1) Always assess the quality of the film first. Is this PA or AP? Upright or supine? Make note if they are rotated, which way (left or right) and if it's a lot or a little, and how good the exposure is. Is this inspiratory or expiratory?
two systems that I was taught:
"outside, in between, inside"
"A-Z"
The first I was taught by an excellent radiologist.
Outside meaning you first look outside the lungs. Because it's easy to overlook and "skip" to get to the fun/exciting/obvious pathology you usually are looking for inside.
-So look at the hardware, don't assume all the metal you see is supposed to be there.
-Look at the soft tissue including what's lying over the lungs and mediastinum, you might catch breast cancer in a man.
-Look at all the bones including the ribs - sometimes you'll catch Paget's or mets when you thought you were just looking for PNA, fractures that are signs of abuse, etc.
-Look underneath the diaphragm.
Remember that every image you order, you are responsible for everything in that image, even if it's not what you're looking for or you don't know how to read an MRI. You're responsible for your read and to consult, even if that means walking down to radiology and not waiting for the final read to come in days later.
-Then you can look in between the lungs - I might write more about this later.
-Follow this up by looking inside the lungs.
The other method, which you can look up, is the A-Z method.
I ended up using something of a hybrid method. I check the quality of the film, look outside the lungs, then use A-Z to do the rest.
If this post gets enough likes I may try to recreate the pocketcard I was given for CXRs that has always made me look smarter than I am, and has really helped me with Ddx and not missing some of the less common pathology.