I hesitate for quite some time to post in this thread, first as I was curious in others' opinions, second as I was a bit busy with the end of term, third as I do not really have a new idea. But let me recap my view on this:
In my mind the key take-away from the quoted meta.se posts is that there is no need for concern. We can continue what we are doing now as long as we want. This is good news. There is no need to inflate question or view counts just to "stay alive."
Now, of course, more activity would be nice yet the coming month will be rather calm (for seasonal reasons). But in April for example we were doing pretty well. Also, last year there was some minor frustration over the lack of activity at this time of the year, but then in September the site gained traction again.
What can be done to get more questions?
Roughly I see four sources of questions (and users)
Us. We could ask more questions. You could ask a question, I could ask a question. Somehow I never asked a question, perhaps I should change this. Maybe I will this weekend, let's see. (I like the specific proposal in two other answers.)
Our colleagues. If somebody has colleagues that do not know about our site, or only saw it long ago, yet might be interested in it. By all means tell them about it. If you hesitate to promote the site for some reason, please, speak up perhaps there is an issue that can be fixed.
The SE network. While I am not completely convinced about a detail of a proposal made in this thread (drive-by traffic over the hot-list hardly has a long-term effect in my observation), it is no doubt true that there are many potential users in the network that we might want to attract one way or another. Are there any older questions that are in need of an answer? We could compile a list as a guide for interested passer-byes.
"The World." It is always possible that somebody just finds our site via searching for somethings. Indeed, more than half of our traffic comes from this source. Thus, it is important that are content is discoverable. This came up in the context of the site self-evaluation thread: often our content is not easy to find. For some questions more expressive titles could help. An activity that could be useful is to go through old valuable questions and see which titles could be changed to something that might make them easier to find. I do not propose we start to educate ourself in SEO to optimize our titles, but I think it can make sense to try to anticipate what somebody that might want to find this information could type into a search engine. A side effect is that some older questions might resurface and draw additional attention.
Personally, I do not believe in organized or drastic activities. But I think being actively aware that one could do some small things here and there to create more questions or traffic, and doing those as time permits, is a good thing.