First of all - best of luck to you.
Second of all - the goal you have is not an easy one, and I speak from experience. Especially with the skills you have. Web Developers with HTML/CSS/PHP (which is what you look like from your resume) are plenty in the US, and so companies are not really forced to look outside and go through the expensive and messy process of sponsoring people from oversees. Also, times are tough, and I see what battles I have to fight just to hire and intern or a part-timer now, its the constant "do we really need one, can't we do without, what if we shift the deadline" and stuff like that. And I am in a relatively rich and future-oriented industry (biotech.)
If anything, the tendency here seems to be outsourcing rather than sponsoring. India is the current trend, it seems. Cheap labor, and all that...
But do not get discouraged. The fact that it is hard does not mean it is impossible. You already got several pieces of good advice - look for large companies (they have the resources to sponsor) and get a killer LinkedIn presence (it seems to be what the managers are looking at.) Network with people. Clean up your website, some elements do not display right on my machine (OSX10.10.1+Safari+17"screen.) It also looks very "girlish" - which might deter potential employers (try to make it more corporate/professional or more unique/artistic, its a big deal, trust me) - although this is personal, so don't take what I say too seriously, and do not get offended, just trying to help. I am looking at you as a potential employer now (have been going through this same exercise recently to hire people, so this is stuff I looked at.) GitHub repos and contributions on forums like StackOverflow or ServerFault might count as well, even if all you do is ask questions - it shows you are willing to work with others and solve problems by networking rather than getting stuck by yourself.
Beef up your resume. Not necessarily by working more (although some jobs and positions would help) - what you have there might be fine, just expand on that. For example - you said you developed an on-line store for a 3D player, or some such. Great, tell me more. Was it a success, did you create an e-commerce site which makes its owner thousands now? What technology have you used? Give a link if the site exists out there. Stuff like that... Same goes for all the "Latest Projects." Toot your horn as much as you can. I know it is not a very "European" thing to do, but US is US, different world, people are shameless here.
In your "Social Skills" section, do not put Age Of Empires first! It might impress some people, but most will find it strange, sometimes off-putting, sometimes just confusing. They will wonder if this is the most important thing about you, and if so, are you worth hiring. It is good to mention such things, just like your Go level, but maybe under "Hobbies" heading or something, not mixed together with the important skills employers are looking at.
Find examples of technical resumes on-line and just copy the format of the one you like, or combine several formats into something personal. Like with your website - make it look more professional. And expand on your projects - this is what you are selling!
So much for critique, now lets get constructive.
I think that best way to get your foot in the door is to try to get some kind of scholarship in the US and take courses, go to school. Or come here as a tourist, try to enroll in some courses and adjust your status to "student". It is generally much easier to get from "student" to H1-B than from "foreigner" to H1-B. And many companies like hiring "straight from school." But I am not sure how viable this option is, both financially and legally. Still, this is the kind of thing I would look at if I were in your shoes.
Another important thing which can help you, probably the most important thing - figure out which technology is up-and-coming, what will be needed next year, and learn that! Even if you can't come here and go to school, learn it in Europe, this is your best bet. Offer something which is rare here, something which is just starting to catch on, and you are golden. Companies will rather sponsor than wait another year and hire locally. For most of the established stuff there are tons of people in the US looking for jobs, so it is hard for companies to justify hiring from oversees. But if your skills are "in demand", it is much much easier.
Another strategy might be to look for internships, working remotely for little money or even no money at all. Just to get a foot in the door, you understand, not for ever. See if you can find somebody you can help with what you know, and don't mention sponsorship. Just get contacts, exposure, and recognition. Once you have some work you have done in the US on your resume, it might help. Yo get to people through people, as they say, so get to know the people, even if it means doing work for cheap and remotely for now. Take the initiative! You can find some (small) companies with really crappy web presence and email them with the offer - you can help redesign and re-code their website for free (or small fee), you can say you are a recent graduate and need projects to beef up your portfolio, or something. Some people I know have had good luck with such strategy, although I do not know nobody for whom this would lead to a sponsorship. Still, might be worth looking into. American experience goes a long way here.
Not sure what else to say, it's late, I am tired, and probably just talking silly.
Once again - with you all the luck in the world! Don't give up.
