Do you remember the movie Independence Day? You know the part where <spoiler alert> the aliens are blowing up landmarks in cities. You probably remember the Empire State building and White House. Do you remember LA?
It was the First Interstate tower (now called the US Bank Tower), a fairly unremarkable building downtown, other than the fact that it is the tallest building in California and tallest building west of the Mississippi.
So to answer your question, yes, the landmarks in LA are very generic and non-memorable.