How did you measure the output signal ? If you use an oscilloscope probe with the usual alligator to connect the ground you could experience the bouncing due to the inductance of the ground wire.
If this is the case, do the measurement again taking the ground as close as possible to the point you take the signal, using a very short wire. Usually the probes are provided with many tip tools.
Only a wideband resistive probe or an active probe can be expected to reproduce > 100 MHz analog signals reliably. A 450 or 950 ohm series resistor connected to a coaxial cable (10:1 or 20:1 resistive divider) and directly soldered to the circuit is an unbeatable cheap and high performant probing method. In test boards, resistors and coaxial connectors can be provided by design.
I don't see a particular problem with the layout, but I would always place bypass capacitors to ground in the first level. The latest when you load the OP with a probe, the missing direct bypass to ground matters. Also common mode interferences on the supply planes aren't blocked.
You didn't tell yet about the input signal characteristic. I guess it's a high speed "digital" signal with fast edges? Although I've been using OPA355 and similar devices a lot, I'm not aware of the behaviour with fast edges that drive the OP into slew rate limitation. Thus I can't exclude that there's a systematical problem with these OPs. The datasheet pulse responses already show a slightly asymmetry in the about 10% overshoot. And unfortunately there's no related input waveform shown, so we don't know if it has an intentionally adjusted slew rate.
On the other hand, if you see the chance to improve the pulse response by adding a small capacitor to Rf, you should do that.
As a more general comment, VFB OPs have rarely perfect pulse response, if you can live with the finite input impedance of bipolar OPs, you should try CFB OPs, at least for comparison.