There are many portable radios out on the market and they should be sufficient for your needs. The best brands are the Sangean DT200V AM/FM/TV Radio and the Sony SRF-H4 AM/FM/Weather/TV Radio.
The phillips portable radio has approximately 300 hours of battery life. So, if battery life is important to you then the Phillips portable radio would be a good buy for tunes on the go.
I would recommend a portable radio that has only a few buttons easy to carry around and is attractive in appearance. Sony makes very good portable radios I would look there first.
Good places to start with would be Radio Shack, Amazon, and places like that. Read the reviews on the different types of portable shortwave radios to find the best one.
Yes, there are portable karaoke machines for sale. I would look on different electronic stores like Best Buy and Radio Shack.
If your radio is locked and needs to be unlocked, it would require a security code versus a radio code.
Most of portable radios are water proof. Before purchasing a radio, I would suggest that you read the fine print and make sure that the radio your buying is water proof. The outdoor radios are the ones are mostly water proof.
A PS3 is not a Portable and needs a TV any TV with A/C connections will work one with HDMI would be better. Most appliance stores would carry suitable products
Any portable data storage needs
Portable printers can be used anywhere (house, car, shop, ect...) They would be mostly used by a business person who needs to print out important documents on the go.
There are a few stores and retailers have external portable hard drive . Some stores are walmart , the source , radio shack , best buy . Many other places are amazon and ebay .
My best guess would be an lcd screen low power with good color but needs a background light
People still use am radios to listen to am radio station channels on the go. There are still a lot of people who would much rather use an actual radio than using a cell phone for music.