How can I move BTC wallet and funds from Block.io? Unfortunately I can't access dashboard on block.io for some unknown reason. I get the following message from block.io 


  We're sorry, but something went wrong. If you are the application owner check the logs for more information.


I have private keys from block.io. I want to transfer the funds in block.io to another address.
That error message suggests that there may be a short term problem inside the systems operated by Bitcoin.io, in which case I would just retry every day or so.

Clause 5.1.2 of their user agreement says


  When you create a Wallet, the Wallet software generates a cryptographic private and public key pair that you may use to send and receive any supported Virtual Currency via the relevant Virtual Currency network. You are solely responsible for storing, outside of the Services, a backup of any Wallet, private key or transaction information that you maintain in your Wallet or otherwise with the Services. If you do not maintain a backup of your Wallet data outside of the Services, you will be may not be able to access Virtual Currency previously accessed using your Wallet in the event that we discontinue or no longer offer some or all of the Services or may otherwise lose access to Virtual Currency. We are not responsible for maintaining this data on your behalf.


If you have the private keys in a known format, you should be able to import them or sweep them into a normal Bitcoin wallet


How do I import a private key into Bitcoin-Core?
Electrum 2.x sweep feature


etc.

Please read about the advantages and disadvantages of importing vs sweeping and differences between full-node and SPV wallets.