1. Download List
If I understand Corsaka's answer correctly, he is correct to say that you can go to your download list after logging into your PS Account on the PS Store. But I do not recommend this route. As far as I am aware, there are many cons to this page with what you are requesting:
- Non-public (requires you to be logged into your account to view)
- Lists everything you download: Patches, DLCs, Expansions, Themes, etc...
- Not user friendly and extremely hard to find things, especially if you want to share a list of games
- Will only show games that you have downloaded digitally and will not display any physical games
2. My PlayStation Account
You can visit my.playstation.com and navigate to trophies tab. This page provides a slick interface that shows all of the games that you have played on your PSN account along with all of your trophies.
This page is semi-public, meaning that your friends or colleagues will need to log into their PSN account (or set one up) in order to view it.
An non-Sony site I recommend is PSNProfiles. PSNProfiles has no affiliation with Sony or PlayStation, but provides a clean, public, and easy website where you can view all the games you played on your PSN account. This page provides very similar information to my.playstation.com, just laid out differently.
This website is free to use (but there is a premium version if you choose) and does not require you to log into your PSN account.
There is a delay on getting the information synced with your PSN account, which varies based on your account level (1 week for unregistered accounts, daily for registered accounts, every 6 hours for premium accounts)