Treasury teams and promotion are the biggest ways that I know of. There are usually team challenges that encourage members to view, comment, and share in a kind of mutual appreciation. Etsy Treasury Hunter and Etsy Punks are two teams I'm a part of - when I have a chance to post links and comment on others, I tend to get a high return. Promoting your treasuries on FB, Twitter, blogs, etc. is another way to get noticed, but like Fabric Vineyard said, it's a bit of a time commitment.
And lastly, sometimes just having the right name/theme can do the trick. A treasury I did on "honey badgers" was inexplicably popular, even though I did very little promo. One of the great mysteries... Good luck!