Nice thought.
The schema you've posted, would allow the XML element <airportType>active active civil permanent</airportType> to be reported as valid (i.e, duplicate strings are permitted).
It seems that, a modification like following (with XSD 1.1 needed) could fix that,
<xsd:schema elementFormDefault="qualified" xmlns:xsd="
http://www.w3.org/2001/XMLSchema">
<xsd:element name="airportType">
<xsd:simpleType>
<xsd:restriction base="AirportType">
<xsd:assertion test="count($value) = count(distinct-values($value))"/>
</xsd:restriction>
</xsd:simpleType>
</xsd:element>
<xsd:simpleType name="AirportType">
<xsd:list>
<xsd:simpleType>
<xsd:restriction base="xsd:string">
<xsd:enumeration value="civil"/>
<xsd:enumeration value="military"/>
<xsd:enumeration value="active"/>
<xsd:enumeration value="inactive"/>
<xsd:enumeration value="permanent"/>
<xsd:enumeration value="temporary"/>
</xsd:restriction>
</xsd:simpleType>
</xsd:list>
</xsd:simpleType>
</xsd:schema>