Android

Warning: The Android operating system provided with phones and tablets is often modified with the addition of proprietary applications from Google or others and may compromise your privacy. We strongly recommend replacing it with Replicant (or compile Android from source for your device).

A must read: Mission Impossible: Hardening Android for Security and Privacy, by Mike Perry at The Tor Blog.

Authentication
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Authy
Google Authenticator
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Enterprise Suite
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The enterprise suite category is for solutions for organizations that cover more than 10 categories in an integrated fashion (ex.: logins work throughout all apps, etc.)
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G Suite
Office 365
Zoho Office Suite
File Storage & Sync
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Why not MEGA? While MEGA is free as in beer, the software is proprietary code.

Why not SpiderOak? SpiderOak is proprietary software.

Why not Tarsnap? Tarsnap is partially proprietary and hosts your data on Amazon Web Services.

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Dropbox
Google Drive
Microsoft OneDrive
Mesh Networks
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A mesh network is a decentralized peer-to-peer network, with user-controlled physical links that are usually wireless.

“Mesh networking (topology) is a type of networking where each node must not only capture and disseminate its own data, but also serve as a relay for other nodes, that is, it must collaborate to propagate the data in the network.“

Wikipedia

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Google News
Operating Systems (Mobile)
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iOS and WP are proprietary operating systems whose source code are not available for auditing by third parties. You should entrust neither your communications nor your data to a black box device.

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BlackBerry 10
Password Managers
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1Password
LastPass
Roboform
वेब ब्राउजर प्लगिन
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Installing your own add-ons into Tor Browser is not recommended, as they may bypass Tor or otherwise harm your anonymity and privacy. Check the EFF's Panopticlick to see how trackable your browser configuration is by third parties.

If you're using a Firefox-based browser, you can safeguard your browsing habits and stop advertising companies from tracking you by installing uBlock Origin, Request Policy, and HTTPS Everywhere.

A more advanced alternative to Request Policy would be uMatrix.

Install NoScript and enable ‘Forbid scripts globally’ to improve the security of your browser by preventing 0day JavaScript attacks. This is a drastic option as it will render many websites unusable as they rely heavily on JavaScript. NoScript offers a whitelist you can use to selectively enable JavaScript for sites you trust, but this is considered especially bad for your anonymity if you're using NoScript with Tor Browser.

Why is Adblock Plus not recommended? Adblock Plus shows “acceptable ads” by default, which works against the purpose of the add-on. Either disable acceptable ads or use uBlock Origin instead.

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Ghostery
Web Browsers
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Use a combination of Tor Browser and a free web browser of your choice to the surf the web.

Try to use Tor Browser as often as possible. Browsing is slower with Tor, but far more secure.

Note: Mozilla Firefox is technically not completely free software, as Mozilla recommends non-free add-ons on their website.

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Google Chrome
Opera
Yandex.Browser
वेब खोज
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DuckDuckGo is a software-as-a-service (SaaS) hosted around the world that provides you with anonymous search results from these sources. DDG open source components are available here.

There is also a DuckDuckGo hidden service at 3g2upl4pq6kufc4m.onion for Tor users.

MetaGer is a SaaS by the German non-profit SUMA e.V. that provides you with anonymous meta search results.

Startpage is a SaaS hosted in the USA and the Netherlands that provides you with anonymous Google search and image results through a free proxy.

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Google Search
Microsoft Bing
Yahoo Search
Yandex Search