Finnish, (and Estonian), Hungarian, Japanese and Turkish (which includes the dialects spoken in Anatolia, Azerbaidjan (whose people speak almost the same language that the Persian Azeris speak), Kazakhstan, Uzbekistan, Turkmenistan, Kyrgyzstan, Tajikistan and the Urumqi region of China) are sister languages. To my knowledge, all of them have gender-neutral pronouns. (And actually I'm pretty sure about Anatolian Turkish :))