How to disable IntelliSense in VS Code for Markdown?

Question

IntelliSense suggestions in VS Code can be configured globally or per each workspace and as of 1.9 per file-type (language), using the editor.quickSuggestions, editor.acceptSuggestionOnEnter and editor.suggestOnTriggerCharacters settings.

// Controls if quick suggestions should show up or not while typing
"editor.quickSuggestions": true,

File-type settings (preferred, as of 1.9 release)

Open the Command Palette by pressing F1 and run the Configure language specific settings command, then select Markdown. A new editor pane will open where you can place those settings:

// Place your settings in this file to overwrite the default settings
{
  "[markdown]": {
    "editor.quickSuggestions": false
  }
}

This way you'll disable IntelliSense for markdown files only.

Global

Open Command Palette by pressing F1, type open user settings and press Enter. A new editor pane will open where you can place those settings:

// Place your settings in this file to overwrite the default settings
{
    "editor.quickSuggestions": false
}

Workspace

Workspace settings allows to set custom settings without applying them to your other VS Code projects. The workspace settings file is located under the .vscode folder in your project.

Open Command Palette by pressing F1, type open workspace settings and press Enter. A new editor pane will open when you can place same snipped as listed above.

I don't know if it's currently possible to associate settings with selected filetypes.

Other options to configure

In addition to editor.quickSuggestions several other options can be changed to further customize how IntelliSense works:

// Controls if quick suggestions should show up while typing
"editor.quickSuggestions": false,

// Controls if suggestions should be accepted with "Enter" - in addition to "Tab". Helps to avoid ambiguity between inserting new lines and accepting suggestions.
"editor.acceptSuggestionOnEnter": false,

// Controls the delay in ms after which quick suggestions will show up.
"editor.quickSuggestionsDelay": 10,

// Enable word based suggestions
"editor.wordBasedSuggestions": false,

// Controls if the editor should automatically close brackets after opening them
"editor.autoClosingBrackets": false,

// Controls if suggestions should automatically show up when typing trigger characters
"editor.suggestOnTriggerCharacters": false

In addition to what @JakubS said, there are two more settings that will help eliminate IntelliSense:

// Controls if the editor should automatically close brackets after opening them
"editor.autoClosingBrackets": false,

// Controls if suggestions should automatically show up when typing trigger characters
"editor.suggestOnTriggerCharacters": false,

The editor.autoClosingBrackets option will stop Visual Studio Code from automatically inserting a closing parenthesis, bracket, brace, single quote, double quote, etc.

The editor.suggestOnTriggerCharacters option will stop the auto-complete window from appearing when you type a dollar sign or dot.

All together, here's what I use:

// Controls if quick suggestions should show up while typing
"editor.quickSuggestions": false,

// Controls if suggestions should be accepted with "Enter" - in addition to "Tab". Helps to avoid ambiguity between inserting new lines and accepting suggestions.
"editor.acceptSuggestionOnEnter": false,

// Controls the delay in ms after which quick suggestions will show up.
"editor.quickSuggestionsDelay": 10,

// Enable word based suggestions
"editor.wordBasedSuggestions": false,

// Controls if the editor should automatically close brackets after opening them
"editor.autoClosingBrackets": false,

// Controls if suggestions should automatically show up when typing trigger characters
"editor.suggestOnTriggerCharacters": false