一番よく使われている表現はThanks for the updateです。
Thanks for the update on the SEO project.
I wanted to say thanks for the update about our yearly budget.
Thanks for updating me on this issue.
Thanks for the update you sent our team last week.
Thank you for the update on what has been happening throughout the past few months.
I wanted to thank you for the update about our current status.
"Thanks for the update" is something you say to your underling, not to your superior.
Thanks for the updates over the past few weeks during this project.
I wanted to say thanks for the updates about insurance each month.
Thank you for the constant updates on the game, honey. I really need to know about it.
Thanks for the updates, doctor. It helped us understand our son's condition more.
We wish to say thanks for the updates all through the prior season--it helped us calibrate our system.
Did she ever say thanks for the updates?