Additional advantages of analog scope, all of which are subject to personal opinion and preferences:
*) Some high quality analog scopes have additional functionality, which may be useful for some people. For instance my own primary scope has an 8 (eight) digit hardware frequency counter/timer, complete with the option of using an external, high stability timebase. So my scope doubles as my frequency counter.
Other interesting 'features' are potentially a high bandwidth for relatively low cost (if you can maintain a scope of suitable complexity).
*) Scopes like the Tek 7000 series are modular through the use of plug-ins, so you can build custom measurement setups, based on needs and preferences. Some of the possible options are unmatched even today by any modern DSO that I know of. That is, unless you intend to add additional, external hardware. Very low level uV/div is one option, which some people need.
*) No DSO I have seen, can match the quality of a good analog scope's X-Y mode. I use this when building custom test setups, like when sweeping LC filters. X-Y mode looks ugly on most inexpensive DSOs IMO. Check forum contributor GK's threads on his analog computer project for more examples of using an analog scope's beautiful X-Y mode to good effect.
*) Z-axis blanking and modulation. Having a Z-axis modulation bandwidth of over 10 MHz, which some analog scopes have, allows you to watch (analog) video on the scope in X-Y mode. Z-axis blanking also comes in handy if you like to build your own less-than-trivial test setups, consisting of several instruments wired up together.