When it comes to real-time tracking, Woopra is second to none. That said, you'll need to be ready to invest if this kind of information is critical to you.
ShinyStat at first appears to be yet another embedded counter widget that simply counts page views (so very '90s), but dig into this system and you'll find a whole lot more to it, including daily and hourly traffic stats, user demographics, and referrers. With a paid Pro or Business account you can access the most popular pages and set up conversion tracking. There's even a video referrer system available.
With no plug-ins available, you'll need to modify your website's HTML to embed the tracking code on every page, but this isn't complex. In fact, I was more concerned with some serious security no-no's on the site, like the fact that after you register, your password is sent to you in an email in cleartext.
Speaking of emails, ShinyStat also sends you a weekly report by default. It's simple but helpful and surprisingly accurate, underreporting traffic by only about 3 percent vs. Google Analytics.
Outside of the free version, the service is offered for a yearly fee, from €88 (25,000 page views) for the Pro version to €2600 (5 million page views) for the Business version. However, I don't see much value in the upgrades. The free version of ShinyStat offers enough to make it a worthwhile secondary tracking tool -- if you don't mind the counter/advertisement you'll have to embed on your site in order to use it.