When EUR/JPY is exchanged they are thinking in terms of USD. A EUR/JPY exchange is actually a EUR/USD and USD/JPY exchange.
And to think your handle is FX. No, there are many other synthetics that don't involve the USD. Tool.
Why not just trade USD/JPY? Below is a comparison of the EUR/JPY, GBP/JPY and AUD/JPY 2-year chart you provided in your OP to a USD/JPY chart over the same time frame. Taking into consideration the chart ratios might be off you can see that they are almost identical.