Life with the Google Home Mini is truly great. I have a couple of smart plugs and smart bulbs now, and they can all be controlled by with the Echo or Alexa. I have a Phillips multicolored LED in my main room and only the Google Home can also control the colors, even though it acknowledges the commands. With Google Home Mini, I just say "Hey Google, make the living room light green", and it turns green or blue or whatever. Also, the Alexa randomly connects to my smartphone, and also randomly drops music streams. However with it's external speaker jack, it still makes a great Bluetooth stereo speaker.
Advantage: Google Home Mini
EDIT: The Alexa DOES control the colors, but only after restarting it and the bulb. It's easier to control the lights with the Google Mini though...you can say "turn off all the lights" and it will turn everything off or on.
EDIT AGAIN: The problem was my repeater. I have a repeater next to my front window so I can use my home internet when out in the courtyard with my computer or phone. My smart bulb was connected to the repeater signal, while the Google Mini and my other stuff is on my main wireless network. After reconfiguring the bulb, Alexa handles the bulb like Google does, but it still lacks the "turn everything off" feature.