I wrote a simple Python script which utilizes gdata-python-client to download the layout templates of your Blogger blogs. You can read and download from BackupTemplate.py.

It is easy to use, just make sure you have gdata-python-client on you computer. You will be prompted for your email and password. Here is a screenshot how it is working:


Layout templates of all blogs will be saved in current directory with filename like
blogId-blogName-YYMMDD-HHMMSS.xml
You can also add a file called BackupTemplate.yaml:
email: [email]
password: [password]
So you won't be asked for account every time.