Topicalization like:
The movies I saw last week, they were science-fiction, thrillers and war movies.
is acceptable in conversation; it is avoided in formal writing.
The main problem is that the subject "the movies I saw last week" is already the leftmost element of the sentence (following the general subject-verb-object pattern of English), and so the topicalization process does not actually move it. Basically, it just ends up inserting the superfluous word "they".
Simply by deleting the word "they", we end up with a grammatical sentence:
The movies I saw last week, they were science-fiction, thrillers and war movies.
If you want to use topicalization in writing, firstly do not use it too much, otherwise your writing will look like a parody of the Master Yoda character from Star Wars.
Secondly, topicalize something other than the subject of a sentence which is on the left, and do not insert any new words. Have some purpose for the topicalization. Use it to emphasize the topicalized part. For instance, in a legal will document you might write:
To my nephew John, I leave my collection of rare stamps.
which is a topicalized form of the sentence:
I leave my collection of rare stamps to my nephew John.
Any added superfluous words will look like a transcript of speech, and not formal writing:
About my nephew John, to that boy I leave my collection of rare stamps.
A famous example of a topicalized sentence, by the way, is "In God we trust".
You do need commas to separate the elements in a list, if there are three or more elements. These elements should be parallel. This means they should be words or phrases in the same grammatical category. Here is a simple example of "faulty parallelism":
I like to swim and running.
This should be either "I like swimming and running" or "I like to swim and to run", or possibly "I like to swim and run". (Swim and run are joined by "and" and share the "to"). "to swim" and "running" are not in the same category. One is an infinitive and the other a gerund.
In your sentence:
I saw various science-fiction, thrillers and war movies last week.
you have a faulty parallelism problem: "thrillers" is a plural, and therefore does not function as an adjective modifying "movies".
What you want to express is this:
I saw various science-fiction movies, thrillers and war movies last week.
We don't use the term "thriller movie", but only "thriller" which is understood to be a movie. So this creates a problem: we have two elements in the list which are some kind of movie. If we don't want to repeat the word movie, we can combine them like this "science-fiction and war movies". The trick is, how do we combine this with "thriller", which stands by itself? A good way is like this:
I saw various science-fiction and war movies last week, as well as (various) thrillers.
We can also insert another "and":
I saw various thrillers and science-fiction and war movies last week.
This is understood to mean:
I saw various (thrillers and ((science-fiction and war) movies)) last week.
The parallelism is okay, because "science-fiction" and "war" are parallel modifiers which modify "movies". And "movies" is then parallel with "thrillers". When we read this sentence out loud, there will be a slight pause before the first "and", and very little pause around the second "and", emphasizing that "science fiction and war movies" is one unit. It is more effective to replace the first "and" with another conjunction or a compound like "as well as" or "and also", so that there is no possibility of the sentence being misinterpreted as a flat three-list element with faulty parallelism and repeated "and".
If you replace the first "and" with a comma, it creates faulty parallelism, even if "science-fiction" isn't pluralized:
I saw various thrillers, science-fiction and war movies last week.
"thrillers" (types of movies) is parallel with "war movies" (types of movies), but "science-fiction" (a category of story telling) is at odds with these two.
You have three elements in the list, of which only last two are supposed to modify "movies". That doesn't work!
To leave the comma in place, you have to repeat "movies":
I saw various thrillers, science-fiction movies and war movies last week.
If we have an "A, B, C, .. and Z X" list, where A, B, C, ... Z are all modifiers, then all of them apply to X:
Last week I was at home sick, and so I watched numerous comedy, war, science-fiction, documentary and action films.
Every single element in the list must act as a modifier for "movies".
It is a condensed way of writing "numerous comedy films, war films, science-fiction films and action films". All the elements are noun phrases with the common head "films", which can be factored out of the list.