The data line looks ugly, but to me there's nothing wrong with the signal.
There are various devices on the data bus, each one outputting a slightly different high level. As long as these are "high enough" (roughly above ca. 2V ... 2.5V), the data bus works. Different technology ICs (like the MOS 6502, RAM, EPROM, 74LS bus drivers) have different output levels for "high".
IRQ line looks indeed scary, but should represent a constant "high" level to the CPU. The IC driving that line might have an open VCC or GND pin.
Check 5V supply to the chips directly at the ICs pins.
Check the reset, try a manual reset by tying the reset line to (usually) low.
Look at each address and data line for data bus contentions, or open pins. That would look different, an open pin causes some R/C decay waveform, a bus contention shows an invalid logic level ( between 0.7V and 2V).
Look for an EPROM / firmware image on the net and burn fresh EPROMS.