It's particularly good if you have a locally oriented business and page. There are some very busy local pages that you can like and engage with in this way. Obviously it's a bonus if they are in the same niche and location as yours. Then you'll get an even better response. But location will do.
Hugely popular pages like Perth Zoo's come to mind here. I've been liking and commenting on this and similar pages for a while now and it certainly helps. Interestingly, I don't get that many likes as a result. But it does seem to lift traffic to this website, which is linked on the page itself.
Now, I can't be absolutely sure that this increase in Facebook traffic comes as a direct result of these efforts. But the website clicks tend to trickle in after a sustained campaign of liking and commenting on these big, popular local pages. So I'm pretty sure this is the reason.
Now, originally I was a bit ambivalent about doing this. These pages are not oriented towards B2B after all, and so have vastly more individual Facebook members in their communities than other pages. I thought that maybe the page owners and other members might not like seeing a page like mine in their midst, since it is commercially oriented. But while I'm in a minority I'm certainly not alone. And I never include any overtly (or even subtly) promotional comments, so I'm never spamming the page. I've never had any adverse reaction to this activity. So I'll keep doing it.
It appears that simply by constantly popping up in the list of likers and commenters on page posts the community has gotten to know me a little. Some individuals have repeatedly seen my face and the name Perth Business Help and are curious about what I offer. They have a look at the page, and click through to the website to know more.
Now I'm offering something pretty niche-oriented and on a small scale. So it makes sense that this tactic doesn't get many likes. (The likes go way up in frequency when I use the same strategy with more closely related local and Aussie pages dealing with digital marketing. No surprises there.)
But if you had a business website offering something with much wider appeal, such as a cafe, or bar? Well, I'm sure it would get you a consistent flow of likes -- not to mention the website visits. Even if you didn't have a website as such and were only on Facebook it would be a great branding exercize apart from anything else. You wouldn't even have to comment. You could just log in every day and like stuff. Before too long your catchy business name would have been seen by tens of thousands of people. And all for free! That's got to be useful, surely ...