Call me biased, but I think everyone should start their oscilloscope journey with an analog. Not only does learning how to use its many knobs and switches give you a fantastic skill, taking it apart for repair or curiosity becomes a new and detailed lesson each and every time you open it. Not to mention that most analogs are significantly cheaper then their digital counterparts, especially when you are concerned about bandwidth on a budget. Need long-term digital storage (DSO)? Just stick a camera in front of your analog oscilloscope and you’re golden.
Another feature analogs excel at is their pitch-perfect phosphor CRT displays. If your scope can plot against X and Y inputs (Z axis helps too) then you can show off some awesome vector graphics. Here is my take on Oscillofun by Atom Delta: Keep in mind, everything you see on the scope is plotted from what you hear.