you can be sponsored by a company via H1B, a very very competitive visa as there are quotas for this.
another way is an O-1 visa, or visa for aliens w/ extraordinary ability. you have to have had significant achievements for it, or at least, have very well established yourself in your field. this, i believe, has quotas as well.
you can also go to school in the US w/ a student visa, after which you will be given a year to work in the US using your degree. while working, it is up to your employer if they are willing to sponsor you or not.
i believe you can. you have to compile a portfolio of significant achievements, of work, awards, grades, your cv, etc…
for example, i know someone who was recognized by president bill clinton, got an emmy, worked for prominent hollywood and animation studios and got awarded the visa. i also know someone, a sweater designer, who got the visa too. she’s worked with some of the top fashion manufacturers and has been recognized with certain awards and such.