The language around trans discourse changes very rapidly, due to being de-pathologised and re-written by trans people themselves instead of by outside onlookers.
The demarcation between gender, sex, gender expression and orientation is also subject to constant historical and cultural shifts in perspective — the realisation that these are different things with only some overlapping points is slowly seeping into our modern narratives.
It's best to keep an open mind as previously rigidly held, commonplace ideas are constantly challenged.
Now for some definitions of the terminology involved: Portrayals of trans people range between Acceptable Targets and Once Acceptable Targets.
In live action movies, trans people are almost always played by either a cis man or a cis woman, as opposed to a actual trans actors, which doesn't exactly do wonders for visibility.
Sometimes, two different actors are used before and after the transition.
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Despite the trope name, it is very important to note that the currently preferred term in English is transgender, not transsexual.
Also contrast Easy Sex Change; though it has at least a of realism, it minimizes or ignores many physical, psychological, and/or social complications of sex change.