Integration with Theme My Login, Member Lists, User Access Manager or WP-Member?

I have not used all of these plugins enough to know all the necessary steps for integration. There are thousands of plugins out there so we aren't familiar with most of them, just th emajor ones. I am providing information on each one based on what I do know.

1) Theme My Login - Ideally I would use the GF User Reg add-on for registrations and use TML for profile management, just not sure how to pass the custom meta fields into TML's profile editor (and the opposite when profile updates are made). This is really important because it allows users to edit their profile information and avatar on the front end without needing to access any admin pages.

The Gravity Forms User Registration Add-On allows you to store custom user field data in User Meta. If Theme My Login is developed correctly it would also use User Meta to store user custom fields. If it uses user meta then there is no reason why they can't work together out of the box.

2) Members List - I currently use this for the private member's directory, as the GF Directory add-on doesn't appear to support Avatars or links to user profiles. Would really like to call more user meta if/when submitted through GF User Registration.

The Gravity Forms Directory Add-On is a 3rd party add-on, it wasn't created by the Gravity Forms team. I'm not sure what you are asking here. The Gravity Forms User Registration Add-On creates users in WordPress and can create as much user meta data as you would like based on how you configure it.

3) Wordpress Access Manager - used in conjunction with User Role Editor to manage user groups and content restriction for members-only pages

Gravity Forms uses WordPress capabilities to manage what roles can and can't do things within the admin. It integrates with Justin Tadlock's Members plugin which allows you to manage and edit user roles. I'm not familiar with WordPress Access Manager. I recommend the Members plugin for role management. You can find more details here:

http://justintadlock.com/archives/2011/06/01/members-plugin-beta-testing

4) Mingle Forum - This PI includes a separate user profile for forum members, so ideally I would like to integrate custom meta fields from GF User Registration here as well.

As with my comment on Theme My Login, Gravity Forms User Registration Add-On stores custom user fields in the user meta table which is where user meta should be stored. If Mingle Forum uses the user meta table then there shouldn't be any reason why you can't integrate the two.

5) WP-Member (not the free "Members" PI) - I bought it months ago hoping it would help to achieve everything provided by the plugins above, but no such luck. I have it deactivated for now, just wondering if anyone has had a good experience using this with GF?

Have never used it, so can't comment.

6) Contact Form 7 - I've searched the GF forums, but wasn't able to find a hack to easily duplicate a CF7 form with GF or instructions on importing CF7 entries into a similar Gravity Form? If not, no worries - the least of my concerns right now.

There is no way to use a form from Contact Form 7 in Gravity Forms. There is no import from Contact Form 7 functionality.

The main thing to stress with the User Registration Add-On is it stores user data in the WordPress user meta table. So as long as the plugin you want to integrate with makes use of user meta, you should be able to get them to work together.

The User Registration Add-On will create any usermeta you need. What you need to do is select "Add Custom" when configuring your User Registration Feed and type the usermeta name. See screenshot below.
http://grab.by/aqLz
If you have a User Registration Feed that has custom usermeta configured, but is not creating them, let me know and I will be glad to take a closer look and figure out what is wrong.

Based on your screenshot, your registration form should be creating user meta entries using the following keys:

- Industry (custom meta)
- Company (custom meta)
- Title (custom meta)
- Website (default meta)
- LinkedIn Profile (custom meta, which isn't a good key, you should use keys that have no spaces)
- Biographical Information (default meta)

When that form is submitted it should create user meta using the keys outlined above. Is this not happening? Have you looked in your user meta table using PHPMyAdmin to inspect the data?

Gravity Forms creates a new user using that data. It doesn't add UI for those custom meta fields to the User Profile page if that is what you are expecting it to do. It's only for use as a registration form for registering/creating the user, that is the extent of it's user registration interaction. It doesn't function as a profile editor or add custom interface to the profile screen in WordPress. So any custom fields you add using the User Registration Add-On aren't going to appear in the WordPress UI unless you use another plugin to add that interface to WordPress.

We are unable to recreate this problem locally and no other User Registration Add-On users are reporting a problem with custom user meta creation. In order to debug this issue we would have to do so directly on your site where the issue is happening.

If you can send me a WordPress Admin Login and PHPMyAdmin login information to carl@rocketgenius.com we can look into this issue so we can get it resolved.