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https://www.w3schools.com/howto/tryit.asp?filename=tryhow_js_search_menu

<!DOCTYPE html>
<html>
<head>
<meta name="viewport" content="width=device-width, initial-scale=1">
<style>
body {
  font-family: Arial, Helvetica, sans-serif;
}

* {
  box-sizing: border-box;
}

/* Create a column layout with Flexbox */
.row {
  display: flex;
}

/* Left column (menu) */
.left {
  flex: 35%;
  padding: 15px 0;
}

.left h2 {
  padding-left: 8px;
}

/* Right column (page content) */
.right {
  flex: 65%;
  padding: 15px;
}

/* Style the search box */
#mySearch {
  width: 100%;
  font-size: 18px;
  padding: 11px;
  border:1px solid #ddd;
}

/* Style the navigation menu inside the left column */
#myMenu {
  list-style-type: none;
  padding: 0;
  margin: 0;
}

#myMenu li a {
  backgrxound-color: #f6f6f6;
  padding: 12px;
  text-decoration: none;
  font-size: 18px;
  color: black;
  display: block
}

#myMenu li a:hover {
  background-color: #eee;
}
</style>
</head>
<body>

<h2>Search Menu</h2>
<p>Start to type for a specific category inside the search bar to "filter" the search options.</p>

<div class="row">
  <div class="left" style="background-color:#bbb;">
    <h2>Menu</h2>
    <input type="text" id="mySearch" onkeyup="myFunction()" placeholder="Search.." title="Type in a category">
    <ul id="myMenu">
      <li><a href="#">HTML</a></li>
      <li><a href="#">CSS</a></li>
      <li><a href="#">JavaScript</a></li>
      <li><a href="#">PHP</a></li>
      <li><a href="#">Python</a></li>
      <li><a href="#">jQuery</a></li>
      <li><a href="#">SQL</a></li>
      <li><a href="#">Bootstrap</a></li>
      <li><a href="#">Node.js</a></li>
    </ul>
  </div>
  
  <div class="right" style="background-color:#ddd;">
    <h2>Page Content</h2>
    <p>Start to type for a specific category inside the search bar to "filter" the search options.</p>
    <p>Some text..Some text..Some text..Some text..Some text..Some text..Some text..Some text..</p>
    <p>Some other text..Some text..Some text..Some text..Some text..Some text..Some text..Some text..</p>
    <p>Some text..</p>
  </div>
</div>

</body>
</html>

https://www.w3schools.com/howto/tryit.asp?filename=tryhow_js_search_menu

<!DOCTYPE html>
<html>
<head>
<meta name="viewport" content="width=device-width, initial-scale=1">
<style>
body {
font-family: Arial, Helvetica, sans-serif;
}

* {
box-sizing: border-box;
}

/* Create a column layout with Flexbox */
.row {
display: flex;
}

/* Left column (menu) */
.left {
flex: 35%;
padding: 15px 0;
}

.left h2 {
padding-left: 8px;
}

/* Right column (page content) */
.right {
flex: 65%;
padding: 15px;
}

/* Style the search box */
#mySearch {
width: 100%;
font-size: 18px;
padding: 11px;
border:1px solid #ddd;
}

/* Style the navigation menu inside the left column */
#myMenu {
list-style-type: none;
padding: 0;
margin: 0;
}

#myMenu li a {
backgrxound-color: #f6f6f6;
padding: 12px;
text-decoration: none;
font-size: 18px;
color: black;
display: block
}

#myMenu li a:hover {
background-color: #eee;
}
</style>
</head>
<body>

<h2>Search Menu</h2>
<p>Start to type for a specific category inside the search bar to "filter" the search options.</p>

<div class="row">
<div class="left" style="background-color:#bbb;">
<h2>Menu</h2>
<input type="text" id="mySearch" onkeyup="myFunction()" placeholder="Search.." title="Type in a category">
<ul id="myMenu">
<li><a href="#">HTML</a></li>
<li><a href="#">CSS</a></li>
<li><a href="#">JavaScript</a></li>
<li><a href="#">PHP</a></li>
<li><a href="#">Python</a></li>
<li><a href="#">jQuery</a></li>
<li><a href="#">SQL</a></li>
<li><a href="#">Bootstrap</a></li>
<li><a href="#">Node.js</a></li>
</ul>
</div>

<div class="right" style="background-color:#ddd;">
<h2>Page Content</h2>
<p>Start to type for a specific category inside the search bar to "filter" the search options.</p>
<p>Some text..Some text..Some text..Some text..Some text..Some text..Some text..Some text..</p>
<p>Some other text..Some text..Some text..Some text..Some text..Some text..Some text..Some text..</p>
<p>Some text..</p>
</div>
</div>

<script>
function myFunction() {
var input, filter, ul, li, a, i;
input = document.getElementById("mySearch");
filter = input.value.toUpperCase();
ul = document.getElementById("myMenu");
li = ul.getElementsByTagName("li");
for (i = 0; i < li.length; i++) {
a = li[i].getElementsByTagName("a")[0];
if (a.innerHTML.toUpperCase().indexOf(filter) > -1) {
li[i].style.display = "";
} else {
li[i].style.display = "none";
}
}
}
</script>

</body>
</html>