With like you shall use "to + verb" in the sense of habit, whereas you use with "ing" (gerund) in the sense of enjoying.
Your sentence with the chunk "on Netflix every day
" have a ring of habit to it
, so the preposition TO
is called for.https://www.englisch-hilfen.de/en/gramm ... erence.htm
You are not stating that you like watching Netflix in a general way (that you enjoy watching it), you stated that your dream is to make an habit of it. To watch it everyday.