So I know you can get Vim autocompletion with Ctrl-X, Ctrl-O but I\'m wondering if you could rework it so it works with just pressing
Map Tab to Ctrl-X,Ctrl-O
:imap <tab> <c-x><c-o>
See this page from vim-wiki for a smarter Tab completion
The latest version of VIM includes auto complete Go to insert mode at specified line Ctrl-i then Press Ctrl-n while in the insert mode.
I realize this question has been already answered, but you might be interested in a plugin such as SuperTab, which provides auto-completion and uses more than one type of auto-completion depending on the context and what type of completion you have been using.