I suppose it depends on how lightweight you want to go. A tiny radio which will fit in a pocket might not get much reception; a bigger one will get reception but will be heavier. I got a nice one from Amazon which is about the size of a brick, has a solar panel to recharge, a usb port so it can be charged from a computer or car mobile phone charger; it has a hand-crank charger and can also take regular batteries. It can be used as a power bank to recharge your mobile phone, and has two torches and a VERY LOUD emergency distress siren with red flashing light. Radio frequencies are short wave, AM, FM, and if you happen to be in North America, Weather Band where weather forecasts are broadcast. Shame we don't have that here in Dear Old Blighty. Try searching Amazon for Solar Crank Radio.
A wee radio is good company when out camping in the wilds, though it can lead to trauma - one midwinter's midnight in a freezing cold Callater bothy I listened to the radio to cheer myself up, only to hear a spooky news story about a haunting at a school. Another time in a tent in the middle of a blustery night high in the hills above Balquidder, the radio was switched on just in time to hear the BBC Shipping News announcer intone "Gale Force Nine, Conditions Worsening..." !