starry_star, I was just reading about this. They've introduced "Time Gates" to get champions that you have missed! They are available every 3 weeks, or if you get 6 time gate pieces (which are extremely rare boss drops, with a hidden cool down). They last for 3 days. More info in game, or here: https://idle-champions.fandom.com/wiki/EVENTS/Time_Gates
Hey fellow Kongers! I saw a comment elsewhere on the forums to try the "Pale Moon" browser (a fork of Firefox) with this game. I can 100% confirm that this game loads just fine with Pale Moon!
The key is that you have to install the 32-bit version so the Unity Web Player installs. Launch Pale Moon then go to Unity Web Player download page (https://unity3d.com/webplayer). Keep the browser open while you install the web player and refresh the page when you are done. If you see "Unity Plugin version: 5.3.8f2" on the right side on the page, you'll be able to load Transmission :) Enjoy!
I can also confirm I got the badges while "offline". I believe the server it wants to connect to was used to show other players' runs (ghosts) while you're playing. The game is still reporting progress to Kongregate.
If you are looking for some help, the author of this blog (http://winnieguide.blogspot.ca/2018/01/pixoji.html) did a wonderful job documenting all of the accessible regular levels, relaxing challenge and a few of the medium/no smiley levels. This will get you to 149/150 complete and then you need to do one more yourself! -- Just want to say THANK YOU to the author if they see this comment. I appreciate the help!
I actually got the single player badge (Defender of Kingdoms Badge) after winning a multiplayer match. This is, of course, after I reported the single player badge. What can you do. ¯\_(ツ)_/¯
Just beat the last level: As recommended by Zandera, I maxed Alice Jeezebel (Banshee) and the skel warriors & archers (also mana, regen, portal def) and unlocked Diablo spell. At the start of the round, quickly build up your units. When the enemy heroes spawn, use Diablo to keep them occupied. Enemy AI is such that they would like to kill Diablo first for some reason. Just keep spamming units and protect the portal. When Diablo dies, spawn him again. Once the enemy heroes are dead, you're home free. Good luck!