Some games, like Pop'n SD cabinets, were designed with traditional filament bulbs in mind. They have a warm up threshold voltage that barely doesn't light up the bulb so they don't burn out quickly from turning off and on a lot. If you want to use LEDs on these cabinets you need bulbs that defeat the warmup voltage, which are called "non ghosting" bulbs. These are commonly sold on pinball restoration sites like comet pinball, however they are usually sold in 6.3V packages so you may have to take apart the bulb and beef up the power supply resistors to dissipate the excess voltage.
If you would like to color match your LEDs to your old filament bulbs you should purchase "Warm White" LEDs.