On a Kali Linux system, some of the more well-known scripts that are frequently used for privilege escalation are as follows:

1. LinEnum:

LinEnum is a script that performs a comprehensive privilege escalation scan on Linux systems. It gathers information about the system’s configuration, running processes, and potential vulnerabilities.

Download the script from the GitHub repository (https://github.com/rebootuser/LinEnum ) and execute it on the target system.

2. Linux Exploit Suggester:

Linux Exploit Suggester is a Perl script that analyzes the kernel version and suggests potential exploits that may be applicable to the system.

Download the script from the GitHub repository (https://github.com/mzet-/linux-exploit-suggester ) and run it on the target system.

3. Linux Privilege Escalation Checker:

The Linux Privilege Escalation Checker (LPE) is a Python script that automates the process of checking for common privilege escalation vulnerabilities and misconfigurations on Linux systems.

Download the script from the GitHub repository (https://github.com/sleventyeleven/linuxprivchecker ) and execute it on the target system.

4. Linux Smart Enumeration (lse):

Linux Smart Enumeration is a shell script that gathers information about the system, running services, and configurations, aiming to identify potential privilege escalation vectors.

Download the script from the GitHub repository (https://github.com/diego-treitos/linux-smart-enumeration ) and run it on the target system.

5. Unix Privilege Escalation Exploits Suggester:

Unix Privilege Escalation Exploits Suggester is a Python script that analyzes the system’s information and suggests possible privilege escalation exploits.

Download the script from the GitHub repository (https://github.com/pentestmonkey/unix-privesc-check ) and execute it on the target system.

Remember that you should only use these scripts on systems for which you have the necessary authorization to test them.  

Note – Before attempting any privilege escalation activities, it is essential to follow ethical hacking best practices and obtain the required authorizations.