VEDA MANTHRAS :
Basic : Durga Suktham, Sri Suktham, Purusha Suktham, Narayana Suktham, Medhaa Suktham, Bhaagya Suktham, Navagraha Suktham/Namaskaaram, Aayussuktham, Mrithyu Suktham, Bhoo Suktham, Pavamaana Suktham.
Intermediate : Sri Rudram – Namakam, Chamakam
Advanced : Mahanyasam, Thaithireeya Upanishath, Mahaa Narayana Upanishath, Aruna Prasnam, Krama Parayanam – Sri Rudram/Chamakam.
Sthothrams : Vishnu Sahasranamam, SriKrishna Ashtothram, Indrakshi Sthothram, SivaKavacham , Aadithya Hridayam etc.
You may please download and learn some of the Veda Manthras/Sthothram from here