Chrome allows opting out of tracking by going to Settings > Advanced > Privacy and un-checking any unwanted services. Alternatively Chromium can be used to get a similar browser experience without Google's services on top of it.

Chrome on Android and iOS does not support extensions.

Each tab and extension in the browser uses significant chunks of RAM, giving the browser poor performance on machines without enough RAM to supply.

Data collection!

While most of Chrome is open source: Chrome does have some closed-source components to make it possible to play some closed media formats.

Drains battery life on both Windows laptops and Macs much quicker than the alternatives. It can shave hours off the battery life of any non Chromebook laptop.