How do I make this topic not show when I click on “Show new replies to your posts.” ?
mod edit: split from another topic & URL added to reflect this. kail.
Once you have replied in a topic, I don’t think it is possible to have it not show new replies to your posts.
If anyone knows of a way, please correct me.
Delete your posts in this thread. 
A much better resolution would be not to post in topics that you have no interest in.
In the email notification you receive when someone adds to the topic, there should be an unsubscribe link. This will precvent you getting any further notifications about additions to this topic.
HTH
EWen 