If you are happy to display the multiple numbers and emails as, say, comma-separated lists, then you can use GROUP_CONCAT on those columns and GROUP BY Lidnummer.
SELECT lid.Lidnummer
, lid.Naam
, lid.Voornaam
, lid.Huisnummer
, lid.Postcode
, postcode.Adres
, postcode.Woonplaats
, GROUP_CONCAT(telefoonnummers.Telefoonnummer SEPARATOR ', ') as Telefoonnummer
, GROUP_CONCAT(email.Emailadres SEPARATOR ', ') as Emailadres
FROM lid
INNER JOIN
postcode ON lid.Postcode = postcode.Postcode
INNER JOIN
telefoonnummers lid.Lidnummer = telefoonnummers.Lidnummer
INNER JOIN
email ON lid.Lidnummer = email.Lidnummer
GROUP BY lid.Lidnummer;
Use explicit joins and not "FROM A, B, C WHERE..."
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