If your web isn't popular, but you know of one that is popular, you can offer to sponsor the website in exchange for placing your logo (linked to your web) on the website as a sponsor.
The Internet is full of people who are maintaining very useful and highly frequented websites, sometimes at considerable personal cost. Perhaps one of these people would appreciate some income for their efforts.
Sponsoring a web that has been created in association with an
event (e.g. a sporting event) can also be effective.