My Florida Driver's License is a standard license without Real ID Star. Can I still fly until next year?

Yes until May...after that you shouldn't take a chance...They have been advertising that they no longer using old ID

Check with TSA to be sure.

I am not certain if the red star will be in effect by next year you should check with TSA

If it's a valid ID, yes.

It must be a very old license. I thought you now needed the "Real ID". Best if you check with TSA at their website

Yes