These are the top 4 ways I use to find the best Twitter connections.
The list is particularly beneficial for those who are fairly new to Twitter. I've you've been using Twitter for quite some time, do have a quick read to see if you have missed any of my methods.

Twitter Search creates new opportunities for business feedback, tracking news in real time and discovering trends.
Not only that, I am also able to find people to follow and interact with. The interface is pretty simple. I simply do a search for any keyword or keyword phrase of concern and I can be sure to find people tweeting on that subject.
The search results automatically refreshes itself in real-time. Often, I just leave the window open and reply to some of the tweets that come in subsequently.

The 2009 launch of WeFollow came hot on the heels of Twitter's own Suggested Users List which was created to help new users find people to follow. WeFollow provides a similar service but on a far larger scale.
The directory lists the Twitter users according to categories and tags. This enables me to easily find people who share the same interests as me. Something interesting is that I can also sort the listings according to “Most Influential” and “Most Followers”. However, most of the time, I will just enter tags into the search bar so that I can get more specific results. You might also want to add yourself on WeFollow so that other people can find you too!

I first came across Mashable Twitter List Directory in 2010 … a collaboration between Mashable and TLISTS. This is a place where I am able to find massive collections of tweeters on any topic sorted by relevance, anywhere from Tech & Science to Politics & Causes. Mashable Twitter List Directory has been a very useful resource for me as I am able to create and follow lists on Twitter. If you want to add your lists to the Directory, you have got to sign in with your Twitter account.

This has got to be my favourite Twitter connection platform amongst others. Ever wonder why journalists – who are just average people like you and me – get to interview celebrities or experts while you are just standing at one side staring with envy? Well now, you can find and interview almost anyone on Listorious.
I can’t emphasize again the fact that Listorious has got to be my best Tweople search on the web. I am able to find practically anyone by profession, region or topic. Once I am able to find the correct person, I can interview him directly by asking him questions over Listorious. It’s almost the quality of a magazine interview. Imagine being able to interview an authority in your niche. How about that for FREE?
Do share in the comments section below if you discover some others as well!
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[...] 4 Ways To Make The Best Twitter Connections, Search Engine People [...]
I usually just go for the first one — real-time search. It's been working out great for me as I've often received responses on my tweets directly.
Also: if I manage to get a joke in place at the right time — the person reading the tweet may click the RT-button showcasing my account even more.
And oh, I just thought I'd let you know that this post has been copied elsewhere. Google the post title of this post and you'll know what I mean.
/Nabil, from Sweden.
Nabil recently posted: Bukspottkörtelcancer
Hello Jack! I have a couple of questions about Listorious. 1) Is the list limited only to certain regions? I've tried searching for some Tweople on it, but I didn't find them. 2) Do the questions posted there really get answered? Are the account holders notified of the question even if they aren't signed in to the platform? Personally, I must admit I still think the real-time search is still the most effective method of making Twitter connections since it is directly under the Twitter platform.
Karoline recently posted: En anden måde at finde en billig 4-stjernet ferie på
Since I don't necessarily care if the people I follow are internet "rock stars" I'd rather be a little bit more organic in my Twitter usage. Instead, I look at someone I'm already following who always has something interesting to say. Then I look at who they're following on Twitter and start following some of those people. I usually find some great people that way. They may not be the best known on Twitter but they are often sources of interesting information or ideas.
Andrea Stenberg recently posted: Do you have your Google Profile
Very good way, Andrea.
At times what I do is go and see the profile of someone I like to read. See who they follow, then follow a handful of those.
Though I've been using Twitter for awhile, I had no idea about Listorious. Thanks for sharing