Listed are the sanskrit name for the mantra commonly recited in the Morning
Chanting Book
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Quoted from E-sangha
Daśa Cula Mantra (Ten Mantras)
JVĀLA MAHĀUGRA DHĀRAṆĪ
(The Mantra for Dispersing Calamities and Bringing Auspicious Good Will from Spirits 消災吉祥神咒
GUNA-RATNA-ŚĪLA DHĀRAṆĪ
(The Meritorious Precious Mountain Dhāraṇī 功德寶山神咒
CINTAMANI CAKRAVARTIN DHĀRAṆĪ 如意輪陀羅尼
MAHĀCUNDI DHĀRAṆĪ
The Dharani to Cundi-Durgha 準提神咒
http://www.lioncity.net/buddhism/index.php?showtopic=39795
ĀRYA AMITAYUR NIYAMA PRABHĀ-RĀJĀ DHĀRAṆĪ
(The Holy and Infinite Life Illuminating Light King Dharani 聖無量壽決定光明王陀羅尼
BHAIṢAJYAGURU VAIḌŪRYA PRABHASA TATHĀGATĀ ABHISECANI DHĀRAṆĪ
(The Teacher of Medicine's Pure Words of Consecration 藥師灌頂真言
ĀRYAVALOKITEŚVARĀ BODHISATTVA VIKURVANA DHĀRAṆĪ
(The Pure Words to Bring a Response From Kuan Yin 觀音靈感真言
SAPTA ATITABUDDHA KARASANIYA DHĀRAṆĪ
(The Blame Dispersing Words of the Seven Buddhas 七佛滅罪真言 )
SUKHÂVATÃŽ-VYÛHA DHĀRAṆĪ
(The Future Rebirth Mantra 往生淨土神咒
'Embellishments of the Land of of Ultimate Bliss' Mantra
SRIDEVI (SUDEVI) DHĀRAṆĪ
(The Mantra of the Virtuous Goddess 大吉祥天女咒
I would also try to introduce:
Pāndaravāsinī (White Cloth Mahasattva) Dhāranī
白衣大士神咒 (觀世音菩薩說隨願陀羅尼
Akṣobhya 阿鞞佛(阿芻鞞耶佛
如來滅定業真言
Ekādaśamukha (Eleven-faced Avalokiteśvarā
Dhāranī (十一面觀世音神咒
http://www.lioncity.net/buddhism/index.php?showtopic=31225
Mahā Karuṇa Dhāraṇī (The Great Compassion Mantra)大悲咒 &
Nīlakaṇṭha Dhāraṇī (Blue-Necked Dharani) 藍頸 陀羅尼
http://www.lioncity.net/buddhism/index.php?showtopic=26287
Śhūrangama Mantra 楞嚴神咒
(Namas Tathāgatoṣṇiṣaṃ Sita-ā-tapatram Aparājitam Praty-angiram Dhāraṇī
歸命 如來頂髻 白傘蓋 無能勝的 惡魔之調伏對治咒法 陀羅尼
The Hundred Syllables Vidya
(Vajrasattva's hundred-syllable mantra 百字明
http://www.lioncity.net/buddhism/index.php?showtopic=41012