Basic HTML

<!DOCTYPE> Defines the document type
<html>Defines an HTML document
<head>Contains metadata/information for the document
<title>Defines a title for the document
<body>Defines the document's body
<h1> to <h6>Defines HTML headings and should be in a hierarchical order
<p>Defines a paragraph
<br>Inserts a single line break
<hr>Defines a thematic change in the content
<!--...-->Defines a comment

Formatting

<acronym>Not supported in HTML5. Use <abbr> instead.
Defines an acronym
<abbr>Defines an abbreviation or an acronym
<address>Defines contact information for the author/owner of a document/article
<b>Defines bold text
<bdi>Isolates a part of text that might be formatted in a different direction from other text outside it
<bdo>Overrides the current text direction
<big>Not supported in HTML5. Use CSS instead.
Defines big text
<blockquote>Defines a section that is quoted from another source
<center>Not supported in HTML5. Use CSS instead.
Defines centered text
<cite>Defines the title of a work
<code>Defines a piece of computer code
<del>Defines text that has been deleted from a document
<dfn>Specifies a term that is going to be defined within the content
<em>Defines emphasized text 
<font>Not supported in HTML5. Use CSS instead.
Defines font, color, and size for text
<i>Defines a part of text in an alternate voice or mood
<ins>Defines a text that has been inserted into a document
<kbd>Defines keyboard input
<mark>Defines marked/highlighted text
<meter>Defines a scalar measurement within a known range (a gauge)
<pre>Defines preformatted text
<progress>Represents the progress of a task
<q>Defines a short quotation
<rp>Defines what to show in browsers that do not support ruby annotations
<rt>Defines an explanation/pronunciation of characters (for East Asian typography)
<ruby>Defines a ruby annotation (for East Asian typography)
<s>Defines text that is no longer correct
<samp>Defines sample output from a computer program
<small>Defines smaller text
<strike>Not supported in HTML5. Use <del> or <s> instead.
Defines strikethrough text
<strong>Defines important text
<sub>Defines subscripted text
<sup>Defines superscripted text
<template>Defines a container for content that should be hidden when the page loads
<time>Defines a specific time (or datetime)
<tt>Not supported in HTML5. Use CSS instead.
Defines teletype text
<u>Defines some text that is unarticulated and styled differently from normal text
<var>Defines a variable
<wbr>Defines a possible line-break

Forms and Input

<form>Defines an HTML form for user input
<input>Defines an input control
<textarea>Defines a multiline input control (text area)
<button>Defines a clickable button
<select>Defines a drop-down list
<optgroup>Defines a group of related options in a drop-down list
<option>Defines an option in a drop-down list
<label>Defines a label for an <input> element
<fieldset>Groups related elements in a form
<legend>Defines a caption for a <fieldset> element
<datalist>Specifies a list of pre-defined options for input controls
<output>Defines the result of a calculation

Frames

<frame>Not supported in HTML5.
Defines a window (a frame) in a frameset
<frameset>Not supported in HTML5.
Defines a set of frames
<noframes>Not supported in HTML5.
Defines an alternate content for users that do not support frames
<iframe>Defines an inline frame

Images

<img>Defines an image
<map>Defines a client-side image map 
<area>Defines an area inside an image map
<canvas>Used to draw graphics, on the fly, via scripting (usually JavaScript)
<figcaption>Defines a caption for a <figure> element
<figure>Specifies self-contained content
<picture>Defines a container for multiple image resources
<svg>Defines a container for SVG graphics

Audio / Video

<audio>Defines sound content
<source>Defines multiple media resources for media elements (<video>, <audio> and <picture>)
<track>Defines text tracks for media elements (<video> and <audio>)
<video>Defines a video or movie

Links

<a>Defines a hyperlink
<link>Defines the relationship between a document and an external resource (most used to link to style sheets)
<nav>Defines navigation links

Lists

<ul>Defines an unordered list
<ol>Defines an ordered list
<li>Defines a list item
<dir>Not supported in HTML5. Use <ul> instead.
Defines a directory list
<dl>Defines a description list
<dt>Defines a term/name in a description list
<dd>Defines a description of a term/name in a description list

Tables

<table>Defines a table
<caption>Defines a table caption
<th>Defines a header cell in a table
<tr>Defines a row in a table
<td>Defines a cell in a table
<thead>Groups the header content in a table
<tbody>Groups the body content in a table
<tfoot>Groups the footer content in a table
<col>Specifies column properties for each column within a <colgroup> element 
<colgroup>Specifies a group of one or more columns in a table for formatting

Styles and Semantics

<style>Defines style information for a document
<div>Defines a section in a document
<span>Defines a section in a document
<header>Defines a header for a document or section
<footer>Defines a footer for a document or section
<main>Specifies the main content of a document
<section>Defines a section in a document
<article>Defines an article
<aside>Defines content aside from the page content
<details>Defines additional details that the user can view or hide
<dialog>Defines a dialog box or window
<summary>Defines a visible heading for a <details> element
<data>Adds a machine-readable translation of a given content


Meta Info

<head>Defines information about the document
<meta>Defines metadata about an HTML document
<base>Specifies the base URL/target for all relative URLs in a document
<basefont>Not supported in HTML5. Use CSS instead.
Specifies a default color, size, and font for all text in a document


Programming

<script>Defines a client-side script
<noscript>Defines an alternate content for users that do not support client-side scripts
<applet>Not supported in HTML5. Use <embed> or <object> instead.
Defines an embedded applet
<embed>Defines a container for an external (non-HTML) application
<object>Defines an embedded object
<param>Defines a parameter for an object