1996 Toyota Avalon Car won't start, radio, doors, lights wo

I have a 1996 Toyota Avalon XLS 6 Cyl with about 222,000 miles on it. The weeks following this incident there was a few times I went and put the key in the ignition and tried to start it and got no noise but all the lights worked with no clicking and I had to wait a few mins, then I would try again and it turned on. Well yesterday I went to go start it and same thing happened the radio, doors, lights work but it wouldn't start. The car did NOT make a clicking sound AT all, battery was replaced about 4 months ago. I attempted to jump and that didn't work. I check fuses for ignition, and started and they were good. If I attempt to start the car and has no clicking or noise but the radio, doors, lights work fine what could it be? Solinoid, Starter.