experiment.
bend a lot, slide a lot, tap a lot, get a wah pedal, try everything again, get a chorus pedal, try it all out again, work on technique, arpeggiating chords, playing a solo on only one string, playing with octaves, etc...
There's so many resources online it's an information overload. The best thing you can do is ignore most of it because hard work is what is really needed. It's too easy to load up a tab from ultimate guitar with a youtube 'howto' video in another window and not really learn or understand it, or train your ear or fingers to know where things are.
It's tough to explain, really, but you'll find a way to make a song have your style, whether it's something as simple as tone or a pedal, or a finger technique, or what.
But really, just taking a riff and playing it backwards, or palm-muted, or instead of moving your hand from 5 to 7, bending it up, or whatever, there's a lot of ways to do things, and you can probably pick out the melody from a song you want to hear and play it on one string.
If it doesn't sound exactly the same as the originals, well, it says something for technique if you can imitate it, but why force it if it isn't natural for you? Find something that comes to you easy, and work hard on that. Say, 20% talent and 80% working hard, or something...
I know I'm completely rambling, but believe me - I love dream theater, and I can't play their songs, (at least not the leads anyway) but you can take a couple small twists that they do and apply it to other things. For some reason, my natural solos end up sounding like something Knopfler would play in his Dire Straits days. No one wants to be a one-trick pony, but you can take something like that and build on it. Dabble in various styles, as was already said, and then apply them to what you love. Jazz, Blues, stick it on a cover you're doing, find a way to spruce it up...
TL;DR: HARD WORK > TALENT. PRACTICE > TALENT. CREATIVITY > TECHNIQUE. THEORY LEADS TO CREATIVITY WHICH LEADS TO TECHNIQUE.
There's enough way to play one chord to make it interesting, so keep learning chords, and of course, scales and modes.