Genki: An Integrated Course in Elementary Japanese Volume I
Genki: An Integrated Course in Elementary Japanese Volume II
Genki: An Integrated Course in Elementary Japanese Workbook Volume I
Genki: An Integrated Course in Elementary Japanese Workbook Volume I
These are the books I've used in my classes so far.
Japanese Grammar Second Edition
Short and to the point, quite useful.
A Dictionary of Japanese Particles
Useful as a particle reference since it covers over 100 particles and gives a lot of examples.
Kanji Learner's Dictionary
I love this dictionary, it's so easy to use and useful.
How To Tell the Difference Between Japanese Particles
Groups particles by usage and then aims to help in understanding when each should be used.
Japanese-English English-Japanese Dictionary
Yeah it's a regular dictionary but it's always useful to have one.
Japanese Step By Step Second Edition
Very useful, it takes a very systematic approach especially to verb conjugation and such.
501 Japanese Verbs
It's a nice verb book, though I wish it gave more examples.
A Guide to Reading and Writing Japanese Third Edition
Umm....haven't really used it and it's one of my oldest books...
Japanese Particle Workbook
See above...oops.
I also own Rosetta Stone Levels 1 and 2 for Japanese. However, I do better learning the elements that make up the larger whole than attempting to glean the meaning out of an entire sentence based on a single picture. Also, Rosetta Stone doesn't really give you any direction, no study plan so you have to be a good self-studier. I'm a better classroom learner than self-studier.
Similarly, I own Instant Immersion Japanese...two versions of it actually, the older version helped me get my initial grasp of kana...but other than that and some vocab, it didn't really help so much. It had the same problem with not giving you a study plan as Rosetta Stone. I bought the newer version a month or two ago but haven't really used it yet.