Okay, I thought I'd add to this topic with a few interesting discoveries.
Firstly, Civ clicker has been updated.
You can find the new version here http://deathraygames.com/play-online/civ-clicker/
As far as I can tell its accessible, plus it fixes the problem with gold that the original had. I\'ve not spent a lot of time with it, but its there for people to have a look.
interestingly enough, deathray games, who seems to have taken over civ clicker, have several games that look interesting including arcane elemnetalist, and an amusing time waster called cyclopse clicker.
There is also a rather fun single player homage to LogD called legen of the green hydra, which isn't an idle game, but is an entirely accessible minimal text rpg for those who are interested.
I haven't checked out all of there games (sadly exo bot the mining game, star hopper and several others seem to be %100 inaccessible), however people might want to have a look.
Oh, and for sake of complleteness,
Kittens game is at http://www.bloodrizer.ru/games/kittens/
and Keepcraft, the mdeival crafting game is at https://morpheox.github.io/Kraft/
With our dreaming and singing, Ceaseless and sorrowless we! The glory about us clinging Of the glorious futures we see,
Our souls with high music ringing; O men! It must ever be
That we dwell in our dreaming and singing, A little apart from ye. (Arthur O'Shaughnessy 1873.)