Wuḍoo' (Ablution)
Adhān (The Call To Prayer)
Iqāmah
The Second Rak'ah (Unit Of Prayer)
The Middle Tashahhud (Testification Of Faith)
The Third And Fourth Rak'ah (Units Of Prayer)
The Final Tashahhud (Testification Of Faith)
Remembrance Of Allah After Praying
Witr Prayer
Jumu'ah (Friday Congregation)
Taraweeḥ Prayer (Optional Night Prayers During Ramaḍaan)
'Eid Prayer
Prayer For Seeking Guidance
Janāzah (Funeral Prayer)
What Is To Be Said During Rukoo'

While in the bowing position, at least once, and preferrably three or more times, you should say:

سُبْحَانَ رَبِّيَ الْعَظِيمِ 

Transliteration: subḥaana rabbiyal-‛adheem 

Translation: How far from imperfections my Lord is, The Supreme 

It was narrated that Ḥudhayfah (may Allah be pleased with him) said:

"I prayed with the Messenger of Allah (may the peace and blessings of Allah be upon him), and he bowed and said when bowing: 'subḥaana rabbiyal-‛adheem' (How far from imperfections my Lord is, The Supreme)..." [an-Nasā'ī: 1046]

There are also other supplications which can be made after the first one, while in the bowing position, such as: 

سُبْحَانَكَ اللَّهُمَّ رَبَّـنَا وَبِحَمْدِكَ ، اللَّهُمَّ اغْفِرْ لِي  

Transliteration: subḥaanak-allaahumma rabbanaa wa biḥamdik, allaahumm-aghfir lee. 

Translation: How far from imperfections You are O Allah, our Lord and I praise You. O Allah, forgive me.


and 

سُبُّوحٌ قُدُّوسٌ ، رَبُّ الْمَلائِكَةِ وَالرُّوحِ 

Transliteration: subbooḥun quddoos, rabbul-malaa’ikati war-rooḥ. 

Translation: Perfect and Holy (He is), Lord of the angels and the Rooḥ (i.e. Jibreel). 


and

اللَّهُمَّ لَكَ رَكَعْتُ وَبِكَ آمَنْتُ ، ولَكَ أَسْلَمْتُ خَشَعَ لَكَ سَمْعِي ، وَبَصَرِي ، وَمُخِّي ، وَعَظْمِي ، وَعَصَبِي ، وَمَا اسْتَقَلَّت بِهِ قَدَمِي 

Transliteration: allaahumma laka raka‛tu wa bika aamantu, wa laka aslamt,

khasha‛a laka sam‛ee, wa baṣaree, wa mukh-khee, wa ‛aẓmee, wa ‛aṣabee, wa mastaqallat bihi qadamee.

Translation: O Allah, unto You I have bowed, and in You I have believed, and to You I have submitted.

My hearing, and my sight, and my mind, and my bones, and my tendons, and what my feet carry, are humbled before You.

There are several other authentic narrations which are collected in the books of hadeeth. 

Note that it is not permissible to recite the Qur'an in rukoo' or in sujood because the Prophet (may the peace and blessings of Allah be upon him) said:

"I have indeed been forbidden from reciting the Qur'an in rukoo' or sujood. Therefore, in the rukoo', glorify the supremity of your Lord, Mighty and Sublime, and as for the sujood, exert yourselves in supplication, for it is most likely that you will be answered." [an-Nasā'ī: 1046]