I thought this would be an interesting, novel question.
I've selected 10 different common Asian scripts from various languages in Asia.
Arabic Alphabet (Arabic, Persian, Urdu, Sindh.etc)
Arabic alphabet - Wikipedia, the free encyclopedia
Devanagari (Hindi, Marathi, Sanskrit)
Devanagari - Wikipedia, the free encyclopedia
Tamil Script (Tamil)
Tamil script - Wikipedia, the free encyclopedia
Sinhala Alphabet (Sinhala/Sinhalese)
Sinhala alphabet - Wikipedia, the free encyclopedia
Burmese brahmic script (Burmese)
Burmese alphabet - Wikipedia, the free encyclopedia
Thai alphabet and related scripts (Thai, Khmer, Lao)
Thai alphabet - Wikipedia, the free encyclopedia
Written Chinese (Mandarin, Sinitic languages, Japanese, Korean, minority languages of China)
Written Chinese - Wikipedia, the free encyclopedia
Japanese writing systems - Hiragana/Katakana (Japanese)
Hiragana - Wikipedia, the free encyclopedia
Katakana - Wikipedia, the free encyclopedia
Hangul/Chosongul (Korean)
Hangul - Wikipedia, the free encyclopedia
Tibetan Alphabet (Tibetan languages)
Tibetan alphabet - Wikipedia, the free encyclopedia
My choice would be out of Arabic or Chinese, even though they're so different. Arabic is graceful and flowing, while Chinese looks so complex and interesting and packed with meaning, although I won't pretend I'll ever master it.