Plurality: Whoever got most 1st place votes
Plurality With Elimination: Look at 1st place votes. If anyone has a majority (≥50%), they win. If no one has a majority, the one with the fewest 1st place votes is eliminated and his votes go to their second place choice. Then the process is repeated. Here, A does not have a majority. B is thrown out and G gets his votes. Now, G 429, A 317, and C 206 and so forth...
Borda Count. Give the places a score so that 1 through n places get n through 1 scores. In this case 1st choice gets 4 pts ... 4th choice gets 1 pt. Now you go through results for a particularly movie and take the sum of the products of choice placement times points. I'll do G as an example: 311*4 + 118*3 + 206*2 + 317*1 = 2327 points. Whoever has the most points is the winner.