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Linkification
This plugin changes plain-text urls to hyperlinks in html (stuff you can click on). For example, certain forums do no allow hyperlinks, so instead people type them out. To visit their links, you probably have to copy and paste into the address bar and press enter. Linkifcation will style the link text and let you click on it directly. This extension is very similar to Text Link (which allows you to go to the textual link by double clicking on it.) Supposedly, Linkification slows down the loading of a page because it needs to parse and edit the whole thing first. I decided to go with the better usability, but I'd use Text Link if I was worried about performance.
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NextPlease!
This extension allows you to easily go to the "next" and "previous" pages. For example, instead of clicking the "Next" link on a google search, I press Shift+Ctrl+Right. This becomes very useful for me when browsing forums. It works by looking for links with certain keywords (reg-exp) or specific images, and you can customize it as you need. I think it's my favorite and most used plug-in.
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Tab Mix Plus
Gives you a lot of control over your tabs; you really have to install this and play around with it to understand its usefulness. A few of the nice features are session saving, tab progress bars, specifying tab widths, and allowing multiple rows of tabs. This offers so much, so I won't even try to explain it all, you just need to try it out. If you want to see my preferences, here they are: My Preferences.
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Download Status Bar
Shows your downloads as tabbed items in a new bar above the status bar instead of opening that annoying popup download manager. I hate the download manager and this interface is very, very nice (and customizable.)
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AdBlock
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Adblock Filter Set G
Probably the best ad-blocker available. I think Firefox has a lot of these features built in, but this plug-in really makes customization and setting up new things to block very simple. I tend to leave text and most image ads, but I block all pop-up and flashing ads. The filter just allows Adblock to update its list of bad ads every four days or so.
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Gmail Manager
This extension notifies you of new gmail for multiple accounts. You set it up to check for new mail at set intervals. It'll bring you to your account in a single click. It's very handy if you use gmail with multiple accounts and are forgetful in checking it (that's definitely me...)
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Organize Status Bar
This extension allows you to organize your status bar. It's useful because a lot of these extensions will place (usually useful) icons in the status bar. Sometimes, you really don't want them. Other times, you want them in a different order. This extension can fulfil either wish.
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Menu Editor
This extension allows you to edit firefox menus. This includes all the top menus (like File and Edit) as well as the menu when you right click anything. Similar to organize status bar, this is mostly useful to remove the clutter from the other extensions. However, I did end up clearing up a lot of menu items under the Tools menu as well.
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Session Saver
This extension lets you save your sessions. It automatically goes about its business in the background, so even if Firefox crashes or you accidentally close it, you can have it go back to what it was. It even saves the text and such that you had entered. Tab Mix Plus does this, but I find this plug-in does a better job.
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IETab
(Text stolen from joelonsoftware) IETab takes advantage of the fact that Internet Explorer is available as an ActiveX control, which is available to be embedded in any Windows application, to open certain websites in Firefox using Internet Explorer. Whenever a website comes up complaining that you need to get "Netscape 4.0 or some other modern browser" you can just right click on the tab and it'll pop up right in Firefox being rendered by Internet Explorer. You can set up a list of websites that always come up in IE tabs.
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Web Developer Extension
This helps web developing an incredible amount. I can't imagine not using this toolbar and trying to design a site. It lets you disable anything, resize the window, mark boundaries, validate code, and tons more.
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Statusbar Clock
Puts a clock in the status bar. I use dual screens, usually with firefox opened, so this allows me to see the time when I look at the bottom right no matter what. This is important to me, though it may not be for most people. I just really like to know the time.
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Clear Private Data Button
Adds a button to clear private data. It's useful when you need it.
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Mouseless Browsing
This is an extension that I love the concept of, but I still think needs a little work. Essentially, it assigns numeric ids to links so that you can quickly select the links without needing to use a mouse. However, sometimes it can take quite a while to assign all the numeric ids, which makes the whole thing pointless. I would like it a lot more if I could have it automatically be on for certain sites. Nevertheless, I like the extension a lot and I do use it when I really want to avoid the mouse.
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All-In-One Gesture
This allows you to do tasks (like back and forward and close) by using the mouse. I'm still undecided whether or not I really like this. I'm not quite sure how much it gets in my way and causes me to do stuff on accident. The only gestures I occasionally use are for back (left), forward (right), next page (>), previous page (<), and close (down) anyways. I dunno... I'm generally anti-mouse anyways also... but even though I rarely use it, it is really cool idea...
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Customize Google
Another one that I'm not quite sure if I really like or not. I don't want to block google ads and the customization doesn't really mean that much to me. Mostly, I like the google images links going directly to the real image. Is it worth having a whole extra extension for this? I don't really know.