Okay, here's a script that adds a button to launch those Easter eggs:

[![New easter egg button][2]][2]

Once installed, merely select the desired Easter egg from the drop-down then press the *EEgg* button.  <sup><sub>(Then weep for the poor puppy you could have petted/walked with that time.)</sub></sup>

**To install**, click [here (*Chat, Wheel of Blame and other Easter eggs* install at GitHub)][3].  
(Requires a userscript engine like Tampermonkey or Violentmonkey.)

<br>
**To preview the source**, click [here (*Chat, Wheel of Blame and other Easter eggs*  preview at GitHub)][4].


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Tested on/with Tampermonkey. Should work with other decent userscript engines...


  [2]: https://i.sstatic.net/kgN7P.png
  [3]: https://github.com/BrockA/SE-misc/raw/master/Stack%20Exchange%20Chat%2C%20Wheel%20of%20Blame%20and%20other%20Easter%20eggs.user.js
  [4]: https://github.com/BrockA/SE-misc/blob/master/Stack%20Exchange%20Chat%2C%20Wheel%20of%20Blame%20and%20other%20Easter%20eggs.user.js