In olden times, people used to have reel to reel tape recorders.
My mother used a little Sony Walkman, barely bigger than the cassette it held.
Minidiscs seem to have vanished.
DAT never really took off.
What machines do amateurs use now ?

I still use a small Panasonic cassette recorder (walkman style) with a built in microphone and recargeable battery. The quality is superb when I use an external electric condenser mic. To remove high end hiss, and tweak the sound a bit, I run the recording through a Roland 33 band parametric equalizer.
OK, so all of this stuff is in the analogue world and everyone has hopped onto the digital train. That said, I am looking at an MP3 recorder and player, but at $400, I am not in any rush to trash that which works very well for me.
By the way, I mix and transfer my analogue recordings, including those songs that I have on vinyl (using a turntable!), via the Yamaha MW12 USB stereo mixing studio, which works on either Mac or Windows. A cool piece of gear.
Cheers!
Frederic in Montreal
Hard drive / flash drive recorders like for example Sound Devices 744T or Roland Edirol.
DAT is still pretty popular though.
It's still possible to buy pocket size minidisc recorders and the sound quality is more than just adequate for the vast majority of people. It's a more stable medium than cassette and you can record 80 minutes uninterrupted sound. I lament the demise of the minidisc but unfortunately MP3 seems to be THE medium now. minidisc has so many useful features like being able to insert tracks where and when you want, to be able to switch tracks around, to be able to erase any specific track etc. I will continue to use mince as long as the discs are available. Any recordings of importance I can transfer to CD via a Yamaha hard disc recorder and more thast one person, including some audiophiles, have been fooled in to thinking that some of my recordings have been commercial. Minidiscs are discreet, you can keep them in a bag or a pocket and use the remote control.