Tienes que usar un JOIN
, en la línea de:
$result = mysqli_query($conn,"SELECT player.*, score.* FROM player LEFT JOIN score ON score.playerid = player.playerid ");
echo "<table>
<tr>
<th>Name</th>
<th>Last Name</th>
<th>Score</th>
</tr>";
while($row = mysqli_fetch_array($result))
{
echo "<tr>";
echo "<td>" . $row['name'] . "</td>";
echo "<td>" . $row['lastname'] . "</td>";
echo "<td>" . $row['score'] . "</td>";
echo "</tr>";
}
echo "</table>";