Formal:
* நான் தமிழ் கற்க விரும்புகிறேன் (naan tamil karka virumbukiraen): This is the most formal way to say it, literally meaning "I want to learn Tamil."
* தமிழ் கற்க வேண்டும் என்று ஆசைப்படுகிறேன் (tamil karka veendum endru aasaip padukiraen): This is slightly more formal and expresses a desire to learn.
Informal:
* தமிழ் கற்கணும்னு ஆசை (tamil karkanum nu aasai): This is a very casual way to say it, meaning "I want to learn Tamil."
* நான் தமிழ் கத்துக்கணும் (naan tamil kathukkanum): This is more informal and means "I want to learn Tamil."
You can also use:
* எனக்கு தமிழ் கற்க ஆசை (enakku tamil karka aasai): This means "I want to learn Tamil" and is quite common.
Important note: Tamil is a very phonetic language. The pronunciation is essential, so it's recommended to learn it with an audio source to practice the correct sounds.