I've been towing with my 2012 Mitsubishi iMiEV.
It's a very basic EV, with only a 16kWh battery pack. I have a Torklift Central 2" hitch on it. It's a rear-wheel drive car and tows GREAT!
The big downside is that my rule of thumb is that a trailer cuts an EVs range in HALF. Fortunately, there's still two state parks near us that have great campgrounds. They also have electric sites, so I can charge while I'm there.
We recently bought a used 2012 Chevy Volt. I plan to add a hitch to that and use it for longer distance towing. The only real downside I can think of is that car is FRONT-WHEEL drive. I love how on the iMiEV, the trailer just puts more weight over the drive wheels. I've only towed with rear-wheel or all-wheel drive vehicles.
I remember being at an event once where somebody had a small home-built trailer, and was towing it with a front-wheel drive car. (I think it was a Honda Civic Hybrid!) The car had enough power for it, but just couldn't get a grip on an ever so slightly muddy grass parking area. I had a similar setup, but rear-wheel drive and had no issues!

still no idea what i'm doing...