2001 Honda Prelude car won't start

You had another question in May about this problem I have a new battery. Sometimes when I try to start the car it won't even turn over. No sound. Power is there because windows go up and down, radio comes on, etc. But won't start. If I remove the jeys and retry several times or sometimes jiggle the key it will start. Had the same problem 3 years ago when it was under extended warrenty and the Honda service department couldn't get it happen so they said nothing was wrong. I got a second new battery. For the last 3 years it has dine it 2 or 3 times a year. Now it is regularly doing it ( and another new battery)and is at Honda service as I write. They finally got it to not start and tell me it has to do with the anti-locking controller and it will cost me $900 bucks.