I have over 100 players on this page, when the player is loading in firefox, it stack with requests to stop script and debug. Chrome loads page long time and players are corrupted.
Is it a problem with "mp3remote" tag? What is the best option for me?

100 players is waaaayy too intensive for the browser to load the page in a timely manner.

This means hundreds of HTML requests, multiple MB's and render-blocking elements.

I would recommend using fewer songs in that page.

How do other websites deal with this?
I tried (DirectPHP) to create dynamic page and module (one dynamic page for all tracks), but for some or other reason the player doesn't want to render, is it because of process priority?
Otherwise I think it would be a good idea to create "open in new window" plugin tag, if it will be useful for somebody apart me...

It is preferable to use a video gallery instead of separate video players.
I have not used DirectPHP so I cannot really help you with that,
just make sure that this extension can render content plugins.