1. to raise; to bring to (someone's attention)
それをもっと評価する社会を目指すべきだと私は訴えたい。I want to make the case that we should aim for a society that values that more.
2. to appeal to (reason, emotions, etc.); to work on (one's emotions); to play on (one's sympathies)
この映画は見る人の心に強く訴える。This movie strongly appeals to the hearts of those who watch it.
3. to complain
駄目なら先生に訴える。If that doesn't work, I'll complain to the teacher.
4. to sue (a person); to take someone to court
違反した場合は訴えます。If you violate it, I will sue you.
5. to resort to (e.g. arms, violence)
力に訴えることはなるべくしたくない。I want to avoid resorting to force as much as possible.