Regarding OP's Edit
As it appears you want features from the Google Toolbar itself, you should know that the majority of these are built in to Chrome. You specifically mention in your post wanting buttons for Gmail, Analytics, etc. There are a few options.
- The Google Mail Checker extension from Google adds a button to your toolbar which shows how many unread messages you have. Clicking the button opens your inbox.
- The Gmail Notifier extension by a third party is the exact same, but with added code to show desktop notifications when new mail is received.
You can turn on Chrome's bookmarks bar by pressing Ctrl+Shift+B. Put bookmarks to Analytics and whatever other services you need in that bar.
- The Google Voice addon by Google installs a toolbar button to show unread Google Voice messages, and to send and receive texts and place calls from any page.
In Firefox, there is a dedicated Google search bar:
In Chrome, this functionality is built into the URL bar. Just type into the URL bar and hit enter, and it will search:
You can also search from the address bar for any site which supports the Open Search protocol. If you have visited the site before, just start typing the URL, for example, "superuser.com", and the address bar will auto-complete the rest of the URL and prompt you to hit Tab to search the site. Many sites support this feature.