Formal:
* நீ என்னை மணம் முடிப்பாயா? (Nee ennai manam mudipaayaa?) - This is a very direct and formal way to ask.
More Romantic:
* நீ என்னோடு வாழ்க்கை நடத்த விரும்புறீங்களா? (Nee ennodu vaazhkai nadaththa virumburiingalaa?) - This means "Would you like to spend your life with me?" and is a more romantic way to phrase it.
* நீ என்னை மணம் புரிய விரும்புறீங்களா? (Nee ennai manam puriya virumburiingalaa?) - This translates to "Would you like to marry me?" and is a slightly more romantic phrasing than the formal option.
Informal:
* என்னோட சேர்ந்து வாழ விரும்புறீங்களா? (Ennodda saernthu vaazha virumburiingalaa?) - This means "Would you like to live with me?" and is a more casual and informal way to ask.
Note: You can also use the word "கல்யாணம்" (kalyanam) instead of "மணம்" (manam) in any of these phrases.
Remember: It's always a good idea to tailor your approach to the specific person and situation.