Basically if it uses a switch-mode power supply, or if it is a resistive load, it will be fine. Most motors will work OK as well.
Modified sine waves contain a high amount of higher harmonic frequencies. For example besides just 60Hz and 120Hz etc. like normal sine waves, they have information/energy at higher frequencies like kHz and up. If the device has a power supply designed solely to rectify and filter clean 60Hz, these higher harmonics will get through.
The thing is most modern equipment does not use traditional power supplies; most stuff nowadays uses switch-mode power supplies which by design operate in the kHz range, so a modifed sine wave doesn't bother them--they are already designed to filter those frequencies out. Computers, modern "universal"/lightweight wall-warts/phone chargers, etc don't care. Neither do resistive loads and simple motor loads like hair dryers, space heaters, incandescent lights, reciprocating saws, etc. but things like traditional linear/audio amps are not going to perform well at all or possibly be damaged.