Your lies were a defense mechanism towards the anger and upset emotions of your current boyfriend. And it therefore made some sense from your point of view to lie / exaggerate to him.
I think that there's too much of you qualifying yourself and justifying yourself to your current boyfriend. As a general rule, don't qualify nor justify yourself to anyone. Just own who and what you are: good points, bad points and neutral points. Because you being self confident and self accepting of who and what you are will be another plus point for you.
You should also be willing to walk away from any man. And stoical about any man walking away from you. This mentally and emotionally tough attitude will be another attractive feature about you.
There are several good routes you could take from here. With this including:
1. Carrying on as if nothing happened. If BF brings it up again, make some joke such as "That's the 5th time you've brought this up this week. I get it. It's a big deal for you. (roll your eyes) Come on, let's get the 6th, 7th, 8th times over right now too (with a smile on your face)"
2. Be totally brutally honest. Tell him that yeah you lied. And may lie to him about stuff in the future. You're not perfect. You never claimed to be. And then you come out and tell him the truth about the more important and relevant stuff. With the attitude that if he gets into a big strop over this, it's his issue and not yours, because what's done is done and you can't alter the past.
3. You could also play up the you being an enigma and your boyfriend not really knowing the real you. EG when he says he doesn't really know the real you, you respond with "No you don't. (and then change the subject to something you'd like to talk about, even if it's something crazy and off tangent)"
4 Or you could say to him "You're trying to tame me... I'm not sure if I'll ever be tamed by anyone..."
And if I were in your shoes I'd be seriously thinking about dumping him, because he's showing too much emotional weakness. If this is his usual behaviour, what's he going to be like every time in his life that something goes against him? He's just going to fly off the handle and have an emotional meltdown? That's not the sort of guy you want to share your life with.