File-Upload-General-Methodology

ASP / ASPX / PHP5 / PHP / PHP3: Webshell / RCE
SVG: Stored XSS / SSRF / XXE
GIF: Stored XSS / SSRF
CSV: CSV injection
XML: XXE
AVI: LFI / SSRF
HTML / JS : HTML injection / XSS / Open redirect
PNG / JPEG: Pixel flood attack (DoS)
ZIP: RCE via LFI / DoS
PDF / PPTX: SSRF / BLIND XXE

Other useful extensions:
PHP: .php, .php2, .php3, .php4, .php5, .php6, .php7, .phps, .phps, .pht, .phtm, .phtml, .pgif, .shtml, .htaccess, .phar, .inc
ASP: .asp, .aspx, .config, .ashx, .asmx, .aspq, .axd, .cshtm, .cshtml, .rem, .soap, .vbhtm, .vbhtml, .asa, .cer, .shtml
Jsp: .jsp, .jspx, .jsw, .jsv, .jspf, .wss, .do, .action
Coldfusion: .cfm, .cfml, .cfc, .dbm
Flash: .swf
Perl: .pl, .cgi

Erlang Yaws Web Server: .yaws
Bypass file extensions checks If they apply, the check the previous extensions. Also test them using some uppercase letters: pHp, .pHP5, .PhAr ... Check adding a valid extension before the execution extension (use previous extensions also):

file.png.php
file.png.Php5

Try adding special characters at the end. You could use Burp to bruteforce all the ascii and Unicode characters. (Note that you can also try to use the previously motioned extensions)
file.php%20
file.php%0a
file.php%00
file.php%0d%0a
file.php/
file.php.\
file.
file.php....
file.pHp5....

Try to put the exec extension before the valid extension and pray so the server is misconfigured. (useful to exploit Apache misconfigurations where anything with extension .php, but not necessarily ending in .php will execute code):
ex: file.php.png

Using NTFS alternate data stream (ADS) in Windows. In this case, a colon character “:” will be inserted after a forbidden extension and before a permitted one. As a result, an empty file with the forbidden extension will be created on the server (e.g. “file.asax:.jpg”). This file might be edited later using other techniques such as using its short filename. The “::$data” pattern can also be used to create non-empty files. Therefore, adding a dot character after this pattern might also be useful to bypass further restrictions (.e.g. “file.asp::$data.”)