Frigidaire top-loading affinity washer. I bought the floor model. It skips the "sensing" cycle, will not wash, fill or spin during wash cycle. It stays in wash cycle for less than 60 seconds, then

SOURCE: GWL11 Machine adds water during spin cycle and leaks on floor

diverter valve is not switching to pump the water out. instead it is resurculating back into the tub.

SOURCE: Frigidaire top-load washer Loud noise during spin

its either the upper spin bearing or lower spin bearing. the upper can be replaced by itself but the lower requires the transmission the be replaced

SOURCE: washing machine agitator & drum spin during wash cycle

check the dogs in your agitater

SOURCE: Agitator Not Working

My Hotpoint VBXR1090B top loading washing machine quit spinning during the rinse cycle and also quit agitating. The water filled up and drained just fine --no leaks.
Here's how I fixed it in 5-minutes.
Tools: 

1. Putty knife
2. Nut driver - I used a multi-purpose screwdriver without any heads attached.

1. Unplug washer from the electrical outlet for safety
2. Release two spring clips holding the front panel on: Insert a putty knife 5" in from the side between the top and the front panel. Pull the front panel forwards.
3. Unscrew 2 screws holding the top down.
4. Lift top - it's somewhat hinged in the rear with three tabs inserted in control panel.
5. The little red tab at the end of the lid switch should be between the lip of the opening and the top; not sitting on top of the lip as mine was.  It's thin enough steel to push it with your bare hands.
6. Make sure when the lid closes it actually causes the switch to turn on. You should hear a click.
7. Put everthing back together. Plug washer back in. Put your tools away.
8. Voilà. Done. Easy.  Even a woman or a ****** could do it.

SOURCE: My Whirlpool washer won't agitate or spin . But it does drain the water.

i also had the same problem, and it ended up being the coupler. It was not hard to replace, it cost me about 19.00. I didn't follow full recomende instructions. I tipped the washer backwards. Removed the drain pump and the motor itself. Then I removed the old coupling and placed the new one. The washer is working like new...