Is there a list of browser rpgs that...

[Lina]

....have reasonable or no energy system?

I think ManaPot works well enough with their system in that you can restore your energy for free as much as you want as long as you prove you're not a bot each time.

I just haven't been in an mmorpg mood lately (new job changed my routine quite a bit) so I'm trying out browser rpgs.

[Kashis]

I don't know about a list, but you can check out Kongregate for a lot of browser style games/mmos. A good number of them end up on mobile as well and are solid. Recently got into Shop Heroes myself and is a pretty decent game if you like micro managing and mercantilism (everything is done in relatively small units of time).

The new Glitch fanserver that's being worked on looks like it'll have some potential in the future so you might wanna keep an eye out for it over at http://elevengiants.com/.

There's a pretty good strategic game called Duelyst in beta (you can just ask for a key at their site and they will give you one) if you are into those type of games. http://duelyst.com/.

I've been looking for some good ones myself. Incremental games such as A Dark Room are pretty fun ways to kill time as well.