I have never had an issue (that I know of) with adobe.com, but I have heard for years about the security risks of Flash Player.
I wouldn't say it is a bad site for children, but some imagery can be "mind bending" for children. A personal opinion.
It's anything, Adobe try to force us (checked by defaut) to install not one but 2 crapwares with flash player on Mozilla Firefox browser (I think Chrome browser are affected by the same problem).
No crapwares on Opera browser.
We live in a capitalist world (world always wanted by the US that has literally crushed all other countries with another system in the world) where the only rule is selfish profit without respect for anyone! Even the official and internationally recognized companies are not exempt from it, the proof here. It is increasingly rare to see a company or honest people!
Update at 06-01-2016: Worst and worst, Adobe set by defaut on only one of crapware but 2 (I SAID TWO) CRAPWARES installation addon with the software or updates I will install. Verify in precision to uncheck the crapwares before to click on install button.
Comment at 07-13-2015: Their softwares crashes or freeze anytimes!
While this site makes software you might find useful in everyday life you might be best to steer clear. Adobe had a data breach affecting 153Million members in the past and while it didn't affect any of my other accounts that may be only because I take security very serious and use a password manager to generate gibberish when I sign up for accounts. Adobe never contacted me about the breach and I remember reading about it on other news sites at the time and changed my info anyway. I should have been contacted to take precautions anyway and thus the rating and review for lack of trust. Not to mention you should avoid its Java software as its always full of security dangers and Firefox will even warn you about using that software.
Here is what HaveIBeenPwned.com had to say about one of my email addresses I used to register here:Adobe:
The big one. In October 2013, 153 million Adobe accounts were breached with each containing an internal ID, username, email, encrypted password and a password hint in plain text. The password cryptography was poorly done and many were quickly resolved back to plain text. The unencrypted hints also disclosed much about the passwords adding further to the risk that hundreds of millions of Adobe customers already faced.Compromised data: Email addresses, Password hints, Passwords, Usernames