To unlock this achievement, a 'Chirpnado' must occur, which is a tornado of chirpers (that upgrades the buildings it passes through) in your city or scenarios. The chances of it appearing are 0.4% (according to the wiki).
My way of achieving this was to create a copy of the most developed city I had, activate natural disasters (obviously), and configure their frequencies to the maximum (this is done within the city configurations).
It took me approximately 2 hours to appear, being inactive and only sometimes repairing some serious damage from other catastrophes, to prevent the city from collapsing.
You need to have patience and some luck to not wait so long, and that's all.
(Sorry for the translation).