Forgot to add,
i make use of mastercard for payment.
i use mostly flv and mp4 movies that are hosted by affiliate programs (so i hotlink them with their permission) but i also accept uploads to the site(s), so i need a couple of modules installed at the start like ffmpeg, ffmpeg-php, yamdi, mp4box, imagemagick.
I am sorry to say but your budget is too low for a managed solution.
Even for an unmanaged server it will be very hard to find.
I suggest you either increase your budget or lower your standards drastically.
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What OS, and are you running a control panel. Your budget needs to increase by $50-$60/month at least to get good managed hosting, and you may be able to get the server within a $130/month budget in the U.S. . You may wan to try for a VPS which is cheaper, and you can probably still get managed as well. $75 for everything you require is just to low for U.S. base(reputable) host.
I was reading your requirements and was thinking to my self, "why cant he find a server that will work for him in the offers section? His requirements are very basic." I think saw your budget and understood why. I think you are just asking a bit more than what is realistic at that price. You may find that unmananaged, maybe, but not fully managed. Providers need to pay actual staff to manage your server for you. Honestly, I think what you would be best off doing is just getting a good, high end VPS. If you are running fine on a shared account you next jump shouldn't be a dedicated server anyways, unless you traffic somehow increased by 2000% overnight.
"I think you are just asking a bit more than what is realistic at that price. You may find that managed, maybe, but not fully managed. Providers need to pay actual staff to manage your server for you."
That statement is oh so very true. Were not trying to pick on your because your offered budget is too low, were only trying to tune you in to the reality of the needs you have versus the available budget you have to pay for those needs.