Wuḍoo' (Ablution)
Adhān (The Call To Prayer)
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)
Saying 'Bismillāh'

The Prophet (may the peace and blessings of Allah be upon him) used to begin recitation by saying:

بِسْمِ ٱللهِ ٱلرَّحْمَـٰنِ ٱلرَّحِيمِ

Transliteration: "Bismillaah ir-Raḥmaan ir-Raḥeem."

Translation: "In the name of Allah, the Most Merciful, Bestower of Mercy"  

[an-Nasā’'ī: 906]

It is permissible to read this out loud or silently. However due to the large amount of evidence for reading it quietly, it can be said that it is better to read it quietly, so that only the person praying can hear.