For anyone looking at this in 2020 and using django v3.x (I don't know when this was introduced so it might work for earlier versions.
Note: I only wanted to include an html version without a plain text version. My django view:
from django.template.loader import render_to_string
from django.core.mail import EmailMessage
# import html message.html file
html_template = 'path/to/message.html'
html_message = render_to_string(html_template, { 'context': context, })
message = EmailMessage(subject, html_message, from_email, [to_email])
message.content_subtype = 'html' # this is required because there is no plain text email message
message.send()
My html file (message.html) looked like this:
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=UTF-8" />
<title>Order received</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0"/>
</head>
<body style="margin: 0; padding: 0;">
<table align="center" border="0" cellpadding="0" cellspacing="0" width="320" style="border: none; border-collapse: collapse; font-family: Arial, sans-serif; font-size: 14px; line-height: 1.5;">
...
content
...
</table>
</body>
</html>
More details here: Send alternative content types from django docs