In 2015 Soomla offered a comprehensive list of contacts for Games Industry press here: https://blog.soomla.com/2015/05/gaming-press-blog-contact-list.html . I seem to remember someone on Reddit keeps another copy of the list updated but I can't find a link sorry.
Now you've just got to do the hard work - email people, be polite, and provide info and eye catching materials for your game. A bunch of the contacts will inevitably have expired or be dead-ends since the list was made, but that's where we started out and soon you'll find you're building your own list of contacts that are useful to you. Best of luck!
PS - You may like to include a link to your game in this thread, so that you can be seen by anyone reading your post :)