<?xml version="1.0" encoding="US-ASCII"?>
<!-- Generated by Broadridge Transform (tm) - http://www.broadridge.com -->
<!-- Created: Mon Oct 26 12:01:28 UTC 2026 -->
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  <xs:annotation>
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      <link:linkbaseRef xlink:type="simple" xlink:href="vlgea-20261211_pre.xml" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef"/>
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      <link:roleType roleURI="http://myvillagesupermarket.com/role/AdditionalDimensions" id="vlgea_r_AdditionalDimensions">
        <link:definition>999000 - Disclosure - Pay vs Performance Disclosure - Additional Dimensions</link:definition>
        <link:usedOn>link:presentationLink</link:usedOn>
        <link:usedOn>link:definitionLink</link:usedOn>
        <link:usedOn>link:calculationLink</link:usedOn>
      </link:roleType>
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  <xs:import namespace="http://xbrl.sec.gov/ecd/2026" schemaLocation="https://xbrl.sec.gov/ecd/2026/ecd-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei/2026" schemaLocation="https://xbrl.sec.gov/dei/2026/dei-2026.xsd"/>
  <xs:import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd"/>
  <xs:import namespace="http://www.xbrl.org/dtr/type/2024-01-31" schemaLocation="https://www.xbrl.org/dtr/type/2024-01-31/types.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/ecd-sub/2026" schemaLocation="https://xbrl.sec.gov/ecd/2026/ecd-sub-2026.xsd"/>
  <xs:import namespace="http://xbrl.sec.gov/dei-sub/2026" schemaLocation="https://xbrl.sec.gov/dei/2026/dei-sub-2026.xsd"/>
  <xs:import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd"/>
  <xs:element name="JohnJSumasMember" type="dtr:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" substitutionGroup="xbrli:item" id="vlgea_JohnJSumasMember"/>
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</xs:schema>
