Here's how to overcome this common gotcha: The default password reset system not working out of the box with Laravel 5.x (as you're not sent the user's password), without having to alter altering vendor/core. Here's how to make it work as you'd expect it to without changing any vendor files.

1. Create own notification

Firstly create a new notification for your app:

php artisan make:notification ResetPassword

Then open the newly created file: app\Notifications\ResetPassword.php and make the following changes:

Add public $token; to the beginning of the class (ie. after use Queueable).

Add $this->token = $token; to the body of your __construct() method.

Add $token as parameter to the __construct() method (so it reads __construct($token)).

Add the following to the body of your toMail() method (replacing what's there by default):

        return (new MailMessage)
            ->line('You are receiving this email because we received a password reset request for your account.')
            ->action('Reset Password', url(config('app.url').route('password.reset', [$this->token, $notifiable->email], false)))
            ->line('If you did not request a password reset, no further action is required.');

What you've done is create a copy of the original vendor/core version of the ResetPassword notification (found in /vendor/laravel/framework/src/Illuminate/Auth/Notifications/ResetPassword.php). This allows you to make customisations to it without changing the core Laravel files.

(One difference we've made is adding $notifiable->email to the body of the email.)

2. Point to your notification

Now we need to tell Laravel to call our notification instead of the one found in the CanResetPassword trait. To do this, just edit your App/User.php model:

Add use App\Notifications\ResetPassword; to the top of the file (ie. a link to the notification you just created) and then add a new method:

    public function sendPasswordResetNotification($token)
    {
        $this->notify(new ResetPassword($token));
    }

3. Update your routes

Finally we need to update our routes to include the new {email} parameter:

Route::get('/password/reset/{token}/{email}', 'Auth\ResetPasswordController@showResetForm')->name('password.reset');

Now if the user fills in the /password/reset form, they will be sent your notification, with the additional email parameter.

This now works perfectly!

Additional: Handle errors

You can improve on the above by adding a bit of error handling. To do this, just pass the email to your form, to handle things if there's a problem:

Add the following method to Auth/ForgotPasswordController.php:

    protected function sendResetLinkFailedResponse(Request $request, $response)
    {
        return back()->withErrors(
            ['email' => trans($response)]
        )->withInput($request->only('email'));
    }

And then place the following at the top: use Illuminate\Http\Request;.

And you're done!

Additional: Finesse the UX

If you want, I'd also recommend modifying the semantic HTML in your views (regardless of your design). Go to resources/views/auth/passwords/reset.blade.php and remove the autofocus attribute from the email input element, and add readonly. (I move the autofocus to the first password input element myself.)

Additional: Encrypt the email address in the URL

You can still tidy things up a bit more by encrypting the email in the URL. This isn't for security, it's to make it look prettier (so to speak) and make it less likely for the user to mess with the URL and break something.

To do this, just go to the notification we created in step 1 and change $notifiable->email to encrypt($notifiable->email).

Then go to app/Http/Controllers/Auth/ResetPasswordController.php and add the following method:

    public function showResetForm(Request $request, $token = null)
    {
        return view('auth.passwords.reset')->with(
            ['token' => $token, 'email' => decrypt($request->email)]
        );
    }

Don't forget to place use Illuminate\Http\Request; at the top, too.

And you're done! (Again.)

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I've tested all this fully, and it works perfectly, but if you have an issue, let me know.

Good luck!