I tried everything short of swapping the transformer as I have NO idea where it is. Tried every possible wiring combination with and without the controller. Tried the different chime settings. Finally gave up and bypassed the mechanical chime and setup my two inside cameras to work as bells. I live out in the sticks and it’s very rare to get any doorbell action. It’s more of a camera than a doorbell. Love the local storage option.
I noticed that you posted this elsewhere, so I left a more detailed response over there. 
I found it! On settings go to chime and select mechanical. That’s it! Took me hours!
I wired to Trans and Front directly. Chime on mechanical and it worked. No chime controller.
Welcome to the Forum, @thegeckster! 
For what it’s worth, when I operated my Video Doorbell v2 without the standard Chime Controller installation, my home’s built-in mechanical chime worked but also made extra unpleasant rattling/humming sounds, and Support told me this is “normal”. (I didn’t like that answer, so I found my own solution, which I’ve documented elsewhere.) Reportedly Duo Cam Doorbell suffers a similar problem when wired without Chime Controller. Other Forum users have also reported success without the Chime Controller, though, so good luck!
Let us know if you have other questions or need help finding anything else in the app.
I bypassed the chime controller and it worked.
I first followed the directions but my mechanical chime didn’t work (2 wires). I read on the forums how this was a common issue, i was ready to upgrade my transformer but i thought let me give it a try. Took out the controller and it worked. I had to do like 4 updates on it and when i was digging through the setting i changed my chime to mechanical.
This is my chime.
I wonder if you experienced the same thing I did at one point and if the wires connected to your chime’s FRONT and TRANS terminals are actually reversed. That turned out to be the main root of my problem, which I determined with thorough testing using a multimeter. Since I got the actual transformer wire going to TRANS (not FRONT, where it was before I started) and connected Chime Controller using the standard wiring guide, my Video Doorbell v2 has performed as expected.
If you experience buzzing, humming, or other extraneous noise from your chime at some point because you don’t have Chime Controller wired in, then feel free to let me know and I can try to assist with some troubleshooting.
Welcome to the Forum, @areyes90249! 
I realize this is several months later, but the way I figured out the wires were swapped is that I had the chime disconnected and couldn’t remember how they were connected. SO I just connected them and tried it and it works. Then I found a picture I took fo the wires and discovered I just reversed them.
I appreciate the honest answer! In my case, I used my multimeter and did my own testing because I was having chime issues, and that helped me to learn that the wrong wires were attached to the chime’s FRONT and TRANS terminals long before I installed the Video Doorbell v2, so now I encourage people to do their own testing when possible (and even to pick up an inexpensive multimeter and learn to use it because it’s a handy tool and knowledge to have in the DIY kit), because if you begin the installation with a “bad” starting point, then that can lead to other unnecessary frustration.
Thanks for taking the time to post! 
I had the same problem initially. After checking the rechecking the wires on chime and turning on the chime feature in the app, my mechanical door bell is now working!!!
These is a slight delay in from when the doorbell button is pressed to hearing the chime inside. I’m just glad it’s working after 3 hours of troubleshooting.
It’s been a while since I’ve set one up, but my recollection from initially installing my Video Doorbell v2 a couple of years ago is that there was no prompt for chime selection during the in-app setup process. I selected Mechanical in the settings as I was configuring those anyway, and that made the chime actuate as expected, and then a couple of days later the app prompted me to select a chime type. 
Welcome to the Forum, @msrhymes! 
You are correct chime selection appeared on the app when I was about to give up. It was not mentioned at all during setup.
I would’ve thought they’d’ve fixed that by now. IMO, chime type selection should be part of the installation workflow in the app.
I like a few of you have been having difficulties getting my inside chime to work and I just found a installation video that may explain it for a lot of people . In the set up it asks about your chime and gives you choices . mechanical , etc . Pick the wrong one and you will be like me . having power in the right places wired correctly but no results .
I have chime issues as well I have a 3 wire coming into chime box red was common white being low volt and black being front according to the old chime now I have a new chime with 2 terminals front and trans . Ive tried every combo of wiring diagrams and no luck . setting of chime on mechanical , new 24 transformer , went back to 16 volt setting as it has three terminals on it and you can have 24,16 or 8 . No success . with control box with out . losing it here any suggestions ?