My favourite TV series and movies

This topic is one of my favorite,s because i´n general, I am a big fan of TV series and movies in general.

In terms of movies, my favorite ones become from the Director Cristopher Nolan, for example movies like Inception, Interestellar, and The Dark Night.

bBut i´I am also a big fan of movies like Dune and 1917.

And talking about series, my favourites are Lost, House of Cards, Suits, Peaky Blinders, and definitely Game Of Thrones.

I´m a person that is always trying to find different kinds of series to watch everyday.

This topic is one of my favorites, because i´aI'm a big fan of series and movies in general.

I'm or I am, instead of a combination of the two

In terms of movies, my favorite ones becomare from the Ddirector Cristopher Nolan, movies like Inception, Interestellar, and The Dark Night.

but iI´m also a big fan of movies like Dune and 1917.

'But' is not entirely incorrect, but I would use it like I'm using it here as part of one longer sentence and not to start a new one

And[When/For/If I'm] talking about series, my favorites are Lost, House of Cards, Suits, Peaky Blinders, and definitely Game Of Thrones.

Same as above, starting with 'and' is generally not good practice.

I´m a person that is always trying to find diferent kinds of series to watch everyday.

This topic is one of my favorites, because i´aI’m a big fan of series and movies in general.

1. When talking about multiple things (in this case you’re talking about multiple topics, this one being your favorite) in this exact phrasing, you’d make the word “favorite” plural.
Examples:
Singular: “This book is my favorite.”
Plural: “Out of all the books I’ve read, this book is one of my favorites.”
2. “I’m” is a contraction of the words “I” and “am”. The apostrophe works as showing the eliminated letter. Think of it like the a in “I am” is the apostrophe. You can see this in other words like “don’t”, a combination of “do” and “not”. Here, the apostrophe works as the n in “not”

In terms of movies, my favorite ones become from thare Ddirectored by Cristopher Nolan, movies likesome examples being Inception, Interestellar, and The Dark Night.

1. “Become from” is not correct and makes no sense. You could use “made by” or “created by” instead. But you could also remove the word “Director” from his name and use “directed by” as he directed these movies
2. “Movies like…” technically works, but it looks unnatural. “Some examples being…” looks and sounds more natural.

but i´I’m also a big fan of movies like Dune and 1917.

1. We typically don’t start sentences with conjunctions, as those are placed in the middle of sentences to conjoin two points. You can still do this, I tend to do this as a native speaker, it’s just not technically grammatically correct.
2. Remember that any time you use the word “I” it needs to be capitalized.

And talspeaking aboutof series, my favorites are Lost, House of Cards, Suits, Peaky Blinders, and definitely Game Of Thrones.

I see what you tried to do, but the phrase is “speaking of” not “talking about”

I´m a person that is always trying to find diferent kinds of series to watch everyday.

Since you’re talking about multiple series, you’d make the word “kind” plural.