I admit that my 2235 sees a whole lot less use than it used to.
That said, there are some things that the classic Tek analog scopes do better than modern digital scopes.
The biggest thing is that most modern digital scopes, in their quest to do everything under the sun, have become extremely complicated, and their UI is often a pain in the backside. It's great to be able to do really advanced things, but the really advanced stuff is 5% of my time using a scope, and if I just need to trace a sine wave through a 500 kHz bandwidth amplifier, the less I have to mess with things, the better.
Furthermore... on an analog scope, you can immediately tell exactly how it is configured without touching it. This is not the case with digital scopes, and this is a real pain - I find that I make far more bonehead measurement errors with really modern scopes than I do with those from yesteryear.
I really like my Siglent scope, and I really like the Tek scopes at work - both the TDS3054s and the new ones (I don't remember the model number) we've gotten recently. That said, I still reach for my 54622A and my Tek 2235 more often than I reach for my newer, higher-performance scopes, and this is because for a good portion of what I do, the 54622A is fast enough, and it is far less likely to annoy me than anything more recent. I actually like the TDS220 series for this reason - it's pretty usable.
Also, I'm profoundly lazy. Do you seriously think that I'm going to mess around with a software utility or a USB stick every time I want to save a scope image? Unless this is going in a formal report (or has intellectual property issues) I'm going to snap a picture with my phone. Incidentally, CRTs tend to photograph really well.
And finally, I don't have to put a brick of lead behind my analog scope to stop it from sliding across the bench when I try to connect a probe to it.
So aside from the satisfaction of using a good analog oscilloscope (the appearance of the traces on a CRT, the tactile feel of switches, etc), the main advantage they still hold has more to do with the user interface on a lot of modern scopes.