Differences: in Shia Islam:
- Method of Wiping feet during ablution (Wudhu)
- In Shia Islam, it is permitted (but not recommended to not combine) to combine the Prayers (Zuhr and Asr, Maghrib and Isha)
- In Adhan (Call to Prayer); Shia say “Hayya ‘ala Khayril ‘Amal” (Come to the Best of Deeds) (Shia believe this was removed from Azan by Muaviyeh)
- Shia Muslims do not cross their right hand over left while Praying and keep them hanged.
- Concluding the Prayers with Three Takbirs (Saying: Allahu Akbar!) (Not compulsory)
- Prostrating on Earth (or part of earth like Turbah or a stone)
- It is recommended to pray on the Soil of Karbala.
- Prayers for the Dead (Salat al-Mayyit)
- Tarawih Prayers is recommended by performing it in Jamaat is Haram
Reference and detailed answer and reasoning:
Chapter 13 of the book: Inquiries About Shi'a Islam (by Imam Sayed Moustafa al-Qazwini)