Do you know many Japanese yoji-jukugo, or 4-character idiomatic expressions? As an advanced student of Japanese, memorizing yoji-jukugo will help you understand the nuanced meanings of Kanji characters, as well as give you more insight into Japanese culture.
If you have just started to learn Japanese, don't forget to study Japanese writing, too! To learn hiragana well, the key is to practice reading Japanese every day. Try this Japanese quiz and see how fast you can match the hiragana reading (pronunciation) to the correct hiragana letter.
To read real Japanese, you need to memorize the readings (pronunciations) of the Kanji used in written Japanese. Even if you don't plan to take the JLPT (Japanese Language Proficiency Test) N2, your Japanese reading skill will improve the more reading practice you get.