I'm probably the world's worst shogi player, but if you are interested in playing live shogi online, I have to point out "81 Dojo".
This site has a truly beautiful graphic interface and a lot of nice features like chat, post-game analysis, and arrow-drawing capability.
The site also features two major shogi online titles. I'm not an expert on professional shogi titles in Japan, but as far as I can tell, the titles in 81 Dojo seem to closely follow professional Japanese systems--especially those for Meijin and Ryu-oh. In addition, the site also provides several minor titles. (For more information about the structure of professional shogi titles, check out this interesting video by Hidetchi, which you can find here.)
At this point I don't think 81 Dojo has implemented any cheat trapping, however.
[Edit: After further investigation, I found out that 81 Dojo actually does have cheat trapping.]
If you are at all interested in trying shogi in a live environment, you can find 81 Dojo here.
Hidetchi, who is one of the guys running the site, also has a whole series of 81 Dojo tutorial videos on his YouTube Channel. The videos teach you everything you'd like to know about the site and interface. You can find them here.