My 2008 Hyundai air conditioner was working great one day next day it not blowing cold air.Everything else working fine charged it.Still not cold.found fuse burnt out replaced burned out again

Low on refrigerant, Have system checked for leaks. If no leaks, they will charge system and if all is well, you'll be cool.
Links below could be helpful

Everything You Need to Know About Your Car Completely Firestone Firestone...

How to Recharge Your Car Air Conditioner

Absolutely. One of the blend door actuator motors may be sticking or defective

It may be an electric issue somewhere in the circuit but it's going to have to be troubleshooted using a wiring diagram to find the problem.

it is only one way from coming air...upper sides are distributed by holes it is not possible one side gives warm another gives cool....if one side totally blocked it has problem in this hole not with fan..

you need a ac charge or the heater control valve is bad also check the compressor

One of your Actuators inside the dash that control the A/C Heat doors/ Baffles that open or close, to either give you hot or cold air has failed. Find and replace the failed Actuator and it should work fine.

chances are it needs regasing/presureising,unless you use a/c for about 15 mins a day(on average) a/c gas needs re charging every 4/5 years.

Could be a number of things...electrical connections causing the compressor not to run. Turn on AC and turn your thermostat all the way to cool...now visually check to see if compressor is engaged and not just free wheeling. Most likely you lost your refridgerant due to leak in the system...would need to find leak and repair then have your system re-charged with refridgerant. Best case scenario...your system just needs a charge of refridgerant due to not having enough.

Check the A.C>Relay or It could be low or leaking freon

some times you can buy faulty thermostats outa the box,but first check to make sure you bled all the air out of the cooling system .you may have air pockets wich will not let the themostat operate properly.hope this helped.