Leaderboard

My bike did it when I first got it. Every right turn at a roundabout or junction filled me with fear. Wheel alignment was out.

Two things come to mind. 1. Are you sitting central on the bike saddle, some riders who are a little short sit to one side so their preferred leg can touch ground when they stop. This has a big effect on cornering. 2. Even if you are sitting correctly most riders have a liking for cornering one way in preference to another. I much prefer to do a left turn and dislike tight right handers especially if they are uphill too. If either of these are the case it could also be that your tyres are not worn perfectly concentric caused by generally cornering harder to the left than the right which

Possibly, or it might just be the road camber. Low tyre pressure would add to 'heaviness'.