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You may find my reply to one of your previous topics of interest here. (I sometimes ask myself why we bother)

You could do it with PHP, but the more you learn and advance with web development the more you're going to need to know Javascript and understand things like AJAX. One step at a time. Get the rest of your idea in place, the stuff you already know how to handle, then when you get to the trophies you can think about how to use the opportunity to expand your skillset.

It sounds more like you are asking about data storage than php programming. Not sure I understand this "trophy" conversation but it sounds like you are talking about awards won by the game's designers and you want to list them to let your viewers know about them. So - for each game I would link that record to another table that has individual records for each game's awards/trophies. Of course - if these awards are actually won by multiple games then you may want to just have a table of "trophies" and link those records to each game that has won one. Two different schemes but very similar.