Im sure this has been asked before, but the 6 drop Bizarro reads -

Whenever you draw a card, discard two cards.

During the draw phase(and I have no cards in hand), I draw the first of my two and its a Flying Kick(for example),I now only have one card in hand and have to discard two. Can I use the Flying Kick before Im forced to discard it?
Im pretty sure I cant, but wanted to be sure...

From the DC Legends FAQ:

I'm not sure that really answers the question.

The 2 draws you make during the draw phase now happen as one effect so there is no chance to respond to the first one before making the second.

However Bizarro's triggered effect goes on the chain like any other so it can be responsed to.

To expand on your example.

Start of turn you have no cards in hand.

at the start of the draw phase you are told "draw two cards".

You resolve this as one effect, which triggers Bizarro's power twice, two copies of the effect his power produces are put on the chain, once you have resolved the "draw two cards".

You then get priority again (or do after your opponent has passed if it is not your iniative) and can play cards as normal, if you drew 2 flying kicks you could play them both now.

If you cannot, or do not, play any of the cards you drew then you will have to discard them both when Bizarro's effects resolve.

Thanks for pointing that out, I was wondering if I was missing something in Hc's response, I assumed he was saying that the effect is immediate and I cant use the plot twist (in my example) but I still dont really see why not unless im missing something?

Yeah, I'm not sure what happened there---you didn't happen to edit the first post, did you? If not, I totally jumped the gun on guessing what your question was, big glitch on my part. Brain freeze or something.

Triggers always work by placing effects on the chain, so you're perfectly welcome to play plot twists from your hand before those effects resolve.

Haha! No, I didnt edit it big guy, think youre overworked! ;)
Thanks for the answer! We didnt play it that way and I lost as a result, but now we know, and knowing is half the battle...

Now if only your Opponent was a PAL and would "Only Human" Your Bizarro for you.. that would be SOOO nice :) lol

You lose Flight... but you don't have to discard...