Is this question grammatically correct?

'Would there be anything else I could do for you?'

Is the question above grammatically correct, and if it is; is it suitable as an ending question on the phone (customer service)? Thanks a lot for your help!

"Would..." implies a condition, but it's not clear in your sentence what that condition is.

For example:

"Would you like a cookie [if I gave you one]?"

"What would you do if I sang out of tune? Would you stand up and walk out on me?"

What you're trying to say would be more aptly expressed by "Is there anything else I can do for you?"

It is correct. It is probably too ornate for customer service, which usually asks, "Can I help you with anything else?"

Please don't start another post to repeat the same question which has already been answered.

Is there anything else.......for you. Wouldbe is also correct, but the tone sounds a little impatient to me.

Brilliant! Thanks for your help!