Email validation

Python 3.3, 261

import re,ipaddress
try:v,p=re.match(r'^(?!\.)(((^|\.)[\w!#-\'*+\-/=?^-~]+)+|"([ !#-[\]-~]|\\[ -~])*")@(((?!-)[a-zA-Z\d-]+(?<!-)($|\.))+|\[(IPv6:)?(.*)\])(?<!\.)$',input()).groups()[7:];exec("if p:ipaddress.IPv%dAddress(p)"%(v and 6or 4))
except:v=5
print(v!=5)

Python 3.3 is needed for the ipaddress module, which is used to validate IPv4 and IPv6 addresses.

Less golfed version:

import re, ipaddress

dot_string = r'(?!\.)((^|\.)[\w!#-\'*+\-/=?^-~]+)+'
    # negative lookahead to check that string doesn't start with .
    # each atom must start with a . or the beginning of the string

quoted_string = r'"([ !#-[\]-~]|\\[ -~])*"'
    # - is used for character ranges (also in dot_string)

domain = r'((?!-)[a-zA-Z\d-]+(?<!-)($|\.))+(?<!\.)'
    # negative lookahead/lookbehind to check each subdomain doesn't start/end with -
    # each domain must end with a . or the end of the string
    # negative lookbehind to check that string doesn't end with .

address_literal = r'\[(IPv6:)?(.*)\]'
    # captures the is_IPv6 and ip_address groups

final_regex = r'^(%s|%s)@(%s|%s)$' % (dot_string, quoted_string, domain, address_literal)

try:
    is_IPv6, ip_address = re.match(final_regex, input(), re.VERBOSE).groups()[7:]
        # if input doesn't match, calling .groups() will throw an exception

    if ip_address:
        exec("ipaddress.IPv%dAddress(ip_address)" % (6 if is_IPv6 else 4))
            # IPv4Address or IPv6Address will throw an exception if ip_address isn't valid
except:
    is_IPv6 = 5

print(is_IPv6 != 5)
    # is_IPv6 is used as a flag to tell whether an exception was thrown

PHP 5.4.9, 495

function _($e){return preg_match('/^(?!(?>"?(?>\\\[ -~]|[^"])"?){255,})(?!"?(?>\\\[ -~]|[^"]){65,}"?@)(?>([!#-\'*+\/-9=?^-~-]+)(?>\.(?1))*|"(?>[ !#-\[\]-~]|\\\[ -~])*")@(?!.*[^.]{64,})(?>([a-z0-9](?>[a-z0-9-]*[a-z0-9])?)(?>\.(?2)){0,126}|\[(?:(?>IPv6:(?>([a-f0-9]{1,4})(?>:(?3)){7}|(?!(?:.*[a-f0-9][:\]]){8,})((?3)(?>:(?3)){0,6})?::(?4)?))|(?>(?>IPv6:(?>(?3)(?>:(?3)){5}:|(?!(?:.*[a-f0-9]:){6,})(?5)?::(?>((?3)(?>:(?3)){0,4}):)?))?(25[0-5]|2[0-4]\d|1\d{2}|[1-9]?\d)(?>\.(?6)){3}))\])$/iD', $e);}

And just for further interest, here's one for RFC 5322 grammar which allows for nested CFWS and obsolete local-parts:

(764)

function _($e){return preg_match('/^(?!(?>(?1)"?(?>\\\[ -~]|[^"])"?(?1)){255,})(?!(?>(?1)"?(?>\\\[ -~]|[^"])"?(?1)){65,}@)((?>(?>(?>((?>(?>(?>\x0D\x0A)?[\t ])+|(?>[\t ]*\x0D\x0A)?[\t ]+)?)(\((?>(?2)(?>[\x01-\x08\x0B\x0C\x0E-\'*-\[\]-\x7F]|\\\[\x00-\x7F]|(?3)))*(?2)\)))+(?2))|(?2))?)([!#-\'*+\/-9=?^-~-]+|"(?>(?2)(?>[\x01-\x08\x0B\x0C\x0E-!#-\[\]-\x7F]|\\\[\x00-\x7F]))*(?2)")(?>(?1)\.(?1)(?4))*(?1)@(?!(?1)[a-z\d-]{64,})(?1)(?>([a-z\d](?>[a-z\d-]*[a-z\d])?)(?>(?1)\.(?!(?1)[a-z\d-]{64,})(?1)(?5)){0,126}|\[(?:(?>IPv6:(?>([a-f\d]{1,4})(?>:(?6)){7}|(?!(?:.*[a-f\d][:\]]){8,})((?6)(?>:(?6)){0,6})?::(?7)?))|(?>(?>IPv6:(?>(?6)(?>:(?6)){5}:|(?!(?:.*[a-f\d]:){6,})(?8)?::(?>((?6)(?>:(?6)){0,4}):)?))?(25[0-5]|2[0-4]\d|1\d{2}|[1-9]?\d)(?>\.(?9)){3}))\])(?1)$/isD', $e);}

And if length-limits are not a requirement:

RFC 5321 (414)

function _($e){return preg_match('/^(?>([!#-\'*+\/-9=?^-~-]+)(?>\.(?1))*|"(?>[ !#-\[\]-~]|\\\[ -~])*")@(?>([a-z0-9](?>[a-z0-9-]*[a-z0-9])?)(?>\.(?2)){0,126}|\[(?:(?>IPv6:(?>([a-f0-9]{1,4})(?>:(?3)){7}|(?!(?:.*[a-f0-9][:\]]){8,})((?3)(?>:(?3)){0,6})?::(?4)?))|(?>(?>IPv6:(?>(?3)(?>:(?3)){5}:|(?!(?:.*[a-f0-9]:){6,})(?5)?::(?>((?3)(?>:(?3)){0,4}):)?))?(25[0-5]|2[0-4]\d|1\d{2}|[1-9]?\d)(?>\.(?6)){3}))\])$/iD', $e);}

RFC 5322 (636)

function _($e){return preg_match('/^((?>(?>(?>((?>(?>(?>\x0D\x0A)?[\t ])+|(?>[\t ]*\x0D\x0A)?[\t ]+)?)(\((?>(?2)(?>[\x01-\x08\x0B\x0C\x0E-\'*-\[\]-\x7F]|\\\[\x00-\x7F]|(?3)))*(?2)\)))+(?2))|(?2))?)([!#-\'*+\/-9=?^-~-]+|"(?>(?2)(?>[\x01-\x08\x0B\x0C\x0E-!#-\[\]-\x7F]|\\\[\x00-\x7F]))*(?2)")(?>(?1)\.(?1)(?4))*(?1)@(?1)(?>([a-z\d](?>[a-z\d-]*[a-z\d])?)(?>(?1)\.(?1)(?5)){0,126}|\[(?:(?>IPv6:(?>([a-f\d]{1,4})(?>:(?6)){7}|(?!(?:.*[a-f\d][:\]]){8,})((?6)(?>:(?6)){0,6})?::(?7)?))|(?>(?>IPv6:(?>(?6)(?>:(?6)){5}:|(?!(?:.*[a-f\d]:){6,})(?8)?::(?>((?6)(?>:(?6)){0,4}):)?))?(25[0-5]|2[0-4]\d|1\d{2}|[1-9]?\d)(?>\.(?9)){3}))\])(?1)$/isD', $e);}