I am on the lookout for a value shared host for Magento 2.0.
Not in urgency but interested to hear offer over time. It probably will be some time before quality offers start showing up.
My current host runs Magento 1.9 fine but they just don't support Magento 2.0, namely they don't match the SQL version 5.6 ...
Just to make it clear that no providers can post any offers to you here or through PM as that is against the Forum Guideline.
I suggest searching around for providers specializing in Magento and ask them directly on whether they support Magento 2.
You may also want to check with your current provider on whether they have newer servers that are running MySQL 5.6 as they may be able to move you over. That is if you are happy with them, of course.
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Can't you make it compatible with 5.5 .. what is the big features that mandate 5.6 ...
Running Magento on shared hosting may result in the site running slowly and may affect your customers' experience.
Further, if you want to run Magento on a shared hosting account, you must disable FastCGI. You can consider http://magento.stackexchange.com/questions/98678/recommended-way-to-install-magento-2-on-shared-host...