If I may, ahem:
The ancient Haiku
Compressed thought in word, it springs
Like a season's change :)
Modern Haiku, An Independent Journal of Haiku and Haiku Studies. I think the name says it all. Modern Haiku publishes Haiku and Senryu, as well as Haibun and Haiga. I'm a little upset that they don't publish Tanka, but that's neither here nor there.
Modern Haiku isn't a pro market, they pay an honorarium of $1 per haiku, $2 for haibun and $10 for haiga. The good this is, they pay on acceptance!
They also publish essays, book reviews and commission art work. However, since those things are commissioned, you can't send them in over the transom. Send a query letter first!
Although not pro (by payment standards), I'm including the publication just because...well, just because it's awesome. The site has a ton of back issues and samples for you to peruse as well. And of course they accept electronic submissions.
I'm not going to get too much into it because Modern Haiku's website has all of the info you need. Their guidelines page is very, very detailed and I suggest you read it in its entirety. Ya might learn something new.
Well, there's one caveat:
Editorial cut-off dates for the reading and selection of submissions are March 15, July 15, and November 15 (postmark), but material may be sent at any time and upon acceptance will be published in the next available issue.