In Russian, we have mnemonical phrases for memorizing things like grammatical cases, conjugations of verbs, detecting adverbs, etc. They are somewhat similar to Roy G. Biv mnemonic, but most often are rhymed in a manner of songs for little children. You can find examples here: http://www.gramota.ru/class/memos/ - I don't know if there are equivalents of these in English, sorry.
Are there any similar phrases/verses/songs in Japanese? I'm specifically interested in ones related to grammar, e.g. memorizing counter suffixes (助数詞).