Things that turn me into a wimp include –
Mice, rats, birds (especially in confined spaces).
Films that are too violent – I tend to think twice about a 15 certificate these days.
Phoning someone I don’t know. Especially a large institution.
Erratic driving and I’m in the passenger seat.
Tackling strange burglar alarms.
Trying to explain what I really think/feel about something or someone.
Toothache.
Having my hair cut
……
I’m sure there are more, but these were the ones that came to me in the last three minutes.

Those are actually very good things to be wimp about. I hates spideys so you can add that to your list.