It depends on how you want to do the Search. Alphabetically? Just below right the Search Addons, there is an Advanced button. Make whatever selection you wish. You will have to change to by Name. What do you want? Addons for Firefox, Thunderbird, Seamonkey? You can make the selection of the version number on the upper left.You can't have every one of the over 156,000 addons ever created.
You can limit your selection by platform, i.e. Windows. 20 per page is default, and you can change that to 50 per page. In other words there will be a continuous string up to 50, if you want the maximum.
At the bottom you will see some numbers 1-first 5-, 2=51-100,etc. If you want over 1000 addons, click on next.
You have to realize that, although, you may want to look at every addon ever created, most people will want to look at a few. I don't know how you got only to the letter C.
I limited my Search to v.3.6, updated in the past three months, and I got 1000 to the letter M.
I don't know how to get all of them. I would rely, on the more recent and relevant addons, for sanity's sake.
UserAgent: Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:184.108.40.206) Gecko/20100722 Firefox/3.6.8