A search box or link to "Find Tournament by Name" would be nice too. 
First Page, Last Page, and Go To Page links for Current Tournaments list
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The "Current Tournaments" list http://www.chess.com/tournaments/current_tournaments appears to me to need "First Page", "Last Page", and "Go To Page" links since there are so many pages. It has Previous and Next links but there are a lot of pages to scroll through.
(As a workaround for the "Go To Page", one can edit the page number in the URL, although currently there appears to be a bug in that function as reported in a separate thread.)
These seem like suggestions that might have been discussed before but I wasn't able to find such a thread.