You need a bench to do a bench press, so i wouldnt recommend doing it without a bench otherwise you will injure yourself. SFTS mentioned cleans i believe which is an excellent workout that builds up your explosive ability in sports. You only need a bar and plates for this.

SFTS i think situps are useful, you take an inclined seat and lower the back, my abs are very well built after months of doing this. With pushups you are basically doing a bench (not exactly but thats the biggest similarity), you can "add" weight by dropping a plate or two on your back.

Where i live cut means you are uh ripped (like big muscles)
Toned means you have muscles that look good but aren't necessarily indicators of strength, mostly women tone with things like high-rep low weight exercises (no offense to women)