Yes glenlivet 12 is great. Also try glenfiddich 12 year old, balvenie 15 year old, glenfiddich 14 year old rich oak , and if you can find any of the sherry oak macallans 10 and 12 year old should be wide available. All of these whiskies are from the speyside region. Speyside whiskies are my favorite and are great for a beginner. I also enjoy ardbeg and laphroaig from Islay region but I suggest that you wait to get some experience and then try Islay whisky because they have a very powerful taste and some times scares beginners.
If you want a little bit of peat as an introduction to the Islay whisky you can try isle of Jura 10 year old and the highland park 12 year old.