Profile Database Plugin?

Does a plugin exist for a member database?

This would allow visitors to my site to submit their data, that data would then be reviewed, and if it passes the check then it will go into a searchable database (where details such as phone number/address is password protected).

I know a lot of websites use this, but I am in need of something like this for my WordPress.

(Also still looking for a secure way to protect a log-in page. I’ve changed the expiration time but the page still stays logged in for a matter of days unless the browser settings are set to delete cookies every time the browser closes.)