Here are some modern and beautiful girl names starting with “M”:

Short & Modern (2–4 letters)

• Meha
• Mira / Meera
• Mahi
• Misa
• Myra
• Miva

Modern yet Traditional Feel

• Mahika
• Mahira
• Mahima
• Mauli
• Maanya / Manya
• Manvi / Maanvi
• Mishka
• Mishti
• Mitali
• Mohini
• Mohita
• Moksha (very good from Jain view – means liberation)
• Mohira

Soft & Elegant

• Mahek / Mehak
• Mahera
• Mahira
• Malika
• Malini
• Manali
• Manika
• Manira
• Manika
• Mayuri

Names with Jain/Spiritual Touch

• Moksha – liberation, ultimate goal in Jainism
• Mahika – earth, nature (simple and pure)
• Mahima – greatness (can remember greatness of Arihant and Siddha)
• Mira/Meera – devotion (can be devotion towards Jina)

If you tell me your preference (very short / unique / spiritual / modern stylish), I can suggest 10–15 names that fit exactly that style, all starting with M.