Had a Midget that was a humongous piece of crap and a couple Karmann Ghia's. I'd say other than being small there are really no similarities at all. The Midget was kind of fun to drive despite being not very fast and not handling very good, things working intermittently , shifter coming off in your hand every once in a while, etc. Something about it was still fun, I just get being small, convertible, and a sense of accomplishment when you made it somewhere in it.
The Ghias, again had no comparison in performance but were very enjoyable and fun to drive. Did also get an immense amount of attention, etc. Not fast (especially in comparison to an Elise) handled well for what they were. I don't know how to explain it. There are a million cars that out perform them. Heck I'm sure a stock civic would. But something about driving them was just plain enjoyable and fun. The one was lowered and everything suspension and engine was fresh. Pretty much a stock engine at what- maybe 60HP tops? But for what it was it seemed to go decent, shift nice, handle alright, etc. Some cars just have soul. The feel of the seats and the interior, the smell, the sound of the air cooled engine- just a whole experience. I guess the Elise is similar. There are several cars that may out perform it in one aspect or another, without having near the fun factor.