Disclaimer: Maybe I'm totally blind and this is already possible.

There's a lot of contests by now and scrolling through the pages is more annoying. Imagine you're looking for stuff from some div1-rated contest. The contest list is full of div2+ and educational rounds, plus some rare April Fools contest and such. How about a simple filter:

• show only contests rated for selected divisions, or unrated — this is the most important part
• only educational/hide educational
• only sponsored contests
• only team (remember 2-person team VK Cup?) contests

As a bonus, this will let you see a nice unbroken line of green in the "solved" column without having to try solving problems from contests not relevant for you. If you practiced properly.