I like listening to the radio and I'm a real NPR freak. I have fiddled with a number of small AM/FM radios gleaned from garage sales and thrift stores and sifted information from the Web and thought I would share two of my favorites.
The radio on the left is the Sony SRF-S84. It is an all-analog AM/FM receiver and weighs 1.6oz with a single AAA battery. Sound and reception are excellent, in fact downright amazing for such a small radio. Signal selection is great, almost like having channels. The small tuning wheel can make it a challenge to get a really faint signal but running back and forth slowly usually does the trick. Keep in mind that I'm talking about signals that won't even register on other radios. It has a "Megabass" feature, a typical volume control wheel with on/off switch and a AM/FM mono/FM stereo slider. It has a stainless clip on the back that will fit straps to 1-3/8". Unfortunately, it isn't formally imported to the US, but can be found on eBay, Amazon, and other sources with prices from the high $30's on up.
The radio on the right is the Sangean DT-120. It is more digitally-oriented than the Sony and has a lot of convenient features that come along with the extra electronics: 15 presets, scanning, a 90 minute shut-off timer, extended bass switch, and push-button controls. Weight is 2.1oz with a single AAA battery-- just 0.5oz more than the little Sony above. I just got this one last week so I haven't had a chance to try it out in remote areas, but for all my experimenting at home, it should do just fine. With the digital tuning, you can't split hairs on really weak stations like you can with an analog tuner, but it will pull in most signals worth listening to. I was able to get an AM CBC station in Vancouver BC, 140 miles away! Battery life should be better than the Sony, not because of more efficiency in the circuits, but because it turns off after 90 minutes, so I can't fall asleep and leave it on. If you leave the headphones out, it will turn itself off in a few seconds, so it can't inadvertently be turned on while packed and run the battery down. it does have a lock switch that will accomplish the same and lock the settings when in use. Web prices run $36-$38. They make a clear version for use in prisons to make it harder for inmates to hide contraband.
Both radios came with acceptable earbud headphones. Many people have strong personal preferences to earbuds and they both use standard 3.5mm jacks, so you can use what you like. I do recommend experimenting with headphones as the ground wire on the headphones is what is used for the FM antenna. I have no problem with the vast majority of headphones I have tried, but one or two were noticeably worse, so if you have reception problems, try another set. When in remote areas, you can sometimes pull in weak stations by just turning your head. I have found that just re-arranging the slack cord on top of my sleeping bag at night can make a difference. AM reception in almost all small radios is accomplished with a ferrite bar inside the radio and reception can be changed by rotating the radio. I have hung the radio from the top of my shelter and improved reception too.
If you want a small radio on a budget, the Sony SRF-59 performs nearly as well as the SRF-S84 and can be found for around $15. I would swap out the headphones for earbuds.It will run up to 100 hours on a single AA battery. I don't have the exact weight, but it is just a couple ounces more than the SRF-84, IIRC.