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Well, early Laserdiscs were totally analogue, but digital audio eventually dominated. And the CD didn't start digital audio recording - PCM was discovered in the 1930s and we've had recorders since around 1970. Worthwhile historical overview.

Whether CD is more like laserdisc or more like DVD depends on how you weight the differences (purpose, physical structure, manufacturing technique, modulation, encoding / error correction, data structure, etc.), of course. And LD too 's just pits and lands.

EVERYTHING is analog media. You just need a proper-sized chisel. And a true Scotsman to wield it.

On the other hand, it would be rather difficult to store analog data on a CD or a hard drive.
Without a chisel, sharpie or some other hardware solution.
It might be somewhat easier to do that with a floppy - but again, you would need a specific (non standard) hardware solution for that. I.e. a proper-sized chisel.
Now... had you said Laser Disc - that would be somewhat more accurate, but not by much.

And just "storing" digital data isn't enough. It must also be digitally accessible and readable.
When you print out an MP3 as a continuous string of ones and zeroes - it is no longer a digital recording of data. It is now completely analog.
You have to digitize it in some way in order to be able to access the digital data which was converted into analog information.

At the same time, there is no such thing as random access (or write, delete, skip etc.) for ANY kind of tape media.
Again, you are converting digital data to analog information. It will remain analog until you re-digitize it.
While it is analog, you will be able to treat it like analog information - copy, access, delete it etc.

You can't really do that the other way around - unless you generalize "accessing data/information" as "looking at the hard drive" or something similar.
Or unless you get a proper sized chisel.

So, there is analog, and there is analog.
Tapes - analog. Hard drives and CDs - not really.

On windows, at least, you can set the printer port to "file" to save the printout. It's not human readable, but there may be software to read it. http://www.access-one.com/rjn/computer/print-to-file.html for more info.

Exactly. Laserdiscs used analog encoding (for video at least), and they are much more similar to compact discs!

Laserdisc is analog.

Despite what some legacy advertising might have led you to believe, laserdisc is not digital video. It's not always digital audio, either. This is not surprising considering that the original "LaserVision" was basically a 1972 technology. LD video is pulse FM.

From here.