A couple of months back when we announced Multiple Project Support for the New Basecamp App, we received a lot of requests for adding this feature to the other project management apps as well. Today, we are releasing multiple project support for Trello, Github and Asana. You can now select a project (that you have access to), before you a send a ticket over to these tools.
Both Github and Asana apps also allow you to select an organization before selecting a project. We have also upgraded the Asana app to authenticate using oAuth so you don't have to worry about copying and pasting the API token and other details.