Improveing my habilities in eEnglish will allow me to discover others cultures, and I will really enjoy that !

"Other" is a possessive determiner that is used before nouns, while "others" is a possessive pronoun that functions as a noun. The same applies to pairs like my/mine, your/yours, and our/ours.

hHow to improve my eEnglish?

For a long time, I (have) wanted to improve my eEnglish,. (Recently) I discovered LangCorrect and this is my first message.

In most situations, two independent clauses cannot be separated by only a comma.

"Have wanted": If this describes something that presumably continues to the present, so the present should be used. (To put it another way, that would be the correct translation for something like "depuis longtemps, je veux…")

Adding "recently" makes the transition between sentences less abrupt (especially if they both use the imperfect) and also makes it more consistent with "this is my first message."

I like reading eEnglish books, listening moovies, songs,to songs, and watching movies and TV series, but it's really difficult for me to talk in this foreign language and, maybe even more difficult, to write in englishit.

"Even more" is more elegant.

Improveing my habilities in eEnglish will allow me to discover others cultures, and I really enjoy (having a chance to do) that !

This is more elegant.

hHow to improve my eEnglish?

Languages are proper nouns and should always be capitalized.

For a long time, I wanted to improve my eEnglish, I discovered LangCorrect and this is my first message.

I like reading english books, listening moovies, songs,books in English, watching movies, listening to songs and watching TV series, but it's really difficult for me to talk in this foreign language and, maybeperhaps even more difficult, to write in english.

Improveing my habilities in eEnglish will allow me to discover others cultures and I really enjoy that !