Formal:
* Merci beaucoup. (Thank you very much.) This is the most common and polite way to express gratitude.
* Je vous remercie beaucoup. (I thank you very much.) This is even more formal than "Merci beaucoup."
* Je vous suis très reconnaissant(e). (I am very grateful to you.) This is a very formal way to express deep appreciation.
Informal:
* Merci bien. (Thank you very much.) This is a more casual way to say "thank you."
* Merci beaucoup. (Thank you very much.) This works in both formal and informal settings.
* Merci ! (Thank you!) This is a very casual way to say "thank you."
You can also add "de rien" (you're welcome) after any of these phrases.
Here are some examples:
* "Merci beaucoup pour votre aide." (Thank you very much for your help.)
* "Je vous remercie beaucoup pour votre invitation." (I thank you very much for your invitation.)
* "Merci bien de m'avoir attendu." (Thank you very much for waiting for me.)
* "Merci ! C'est vraiment gentil." (Thank you! That's really nice.)
Choose the phrase that best fits the situation and your relationship with the person you are talking to.