You will see a number of exotic carriers then. Most of the European flights depart in the late afternoon and early evening from LAX
3-7pm range. You will miss the Asian flights since they all leave around lunch time. You will see the QF
/NZ birds waiting at remote stands, but they don't leave until night. I would say that taking a walk and looking near TBIT would be interesting with most of the European carriers there along with Varig, NZ
if you are there long enough. And if you have time going to the burger joint off the north runways or imperial hill can be fun. LAX
is fun at almost any time of the day.
If you have never designed an airplane part before, let the real designers do the work!