I'm so stressed out today.You mean you are very tired.so you can say 累
今天我很累。
今天(我)累死啦(very spoken)
If you mean you're annoyed by somebody or something today,you should say 烦
今天我很烦。
今天(我)烦死啦。
Today is so stressful.you cannot translate this directly,because when we express our feeling,we often use person as subject.This sentence seems to be similar to the first one,if you want to say today you have much pressure,you can say
压力大 今天(我)压力很大。