Hey there! first of all, a big welcome to Caymanian Community! Hope you are enjoying your initial days here. Now back to your query, there are quite a few good restaurants in Grand Cayman where you can go for fine dining options. http://www.grandoldhouse.com/ is one of them. I have been to Cayman quite a few times but the host and services that I avail of there are unparalleled. They provide a range of options exquisite dining options too. Additionally, if you opt for wines, they are have expertise in that too. Hope this answers your doubt!