I am looking for exciting movies to watch
I can recommend you The Dark Night. It has action.
Great, does it include science fiction scenes?
Not really. It is not based on any real story if that's what you mean.
I prefer movies where there is fighting.
How about Nacho Libre? It's about wrestling, although most of the movie does not have fighting scenes. It has story development.
Does it include adventures?
For adventure movies consider 300 which also includes battle scenes.
Great do you have any other reason to watch that movie?
.It is based on a real historical event in the ancient world.
It seems the adventures are limited to one single event in history.
If you are looking for even more adventure, then consider The Lord of the Rings. There is plenty of fighting and adventures.
Does it have monstrous characters? Do they fight? I like those
Yes the fights look epic and the movie got 12 Oscars
However, these movies sound like they are old, based on ancient times.
If you want a movie with all the traits you described, consider Avatar.
Why is that a better option?
It includes epic fights, monsters and advanced technology.