On my laptop, Here is what I do to print a list of all my future and past reservations easily.
1) Login freshly to www.airbnb.com (I get lost if I don't login freshly to find my reservations list 🙂
2) click on 'Host'
3) click on 'Hosting Dashboard'
At the top of the Dashboard page, I see 'Notifications', and below that I see "Reservations".
Below "Reservations", I see a list of reservations for 'Today, then Tomorrow, then everyday after".
But, the trick is to simply look to the right of 'Reservations' on this page and you will see two options, one for "Multi-Calendar" and the second one for "All Reservations". THIS IS WHAT YOU ARE LOOKING FOR!!!