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I don't know what games you have. 98% of the games should start and run (performance is another issue especially in newer games).
Minimum graphics memory= dedicated memory from system RAM
Maximum Graphics memory= dynamic allocated memory from system RAM
Basically, dedicated memory won't matter because the game or application can use all of the allocated memory which is more than enough. There are some rare exceptions from poorly programmed games. Some games have a memory check implemented and might scan for dedicated memory size. The game refuses to start or it blocks higher graphic settings due to insufficient memory (64MB in this case) when in fact could have access to 1600MB. GTA4 for example.