Considering the mixed nature of reports of flexibility difficulties in autism, we hypothesized that a task that more closely resembles the challenges faced in real life would help to assess these difficulties. Autistic and typically developing adults performed an online Emotional Shifting Task, involving non-explicit unpredictable shifts of complex socio-emotional stimuli, and the Task Switching Task, involving explicit predictable shifts of simple character stimuli. Switch cost (i.e. the difference in performance between Shift and Non Shift conditions) was larger in the autistic group than in the comparison group for the Emotional Shifting Task but not for the Task Switching Task. Females responded faster than males in the Emotional Shifting Task. On the Task Switching Task, typically developing males responded faster than typically developing females, whereas there was a female advantage in the autistic group. Our findings suggest that factors such as predictability, explicitness of the shift rule, stimulus type as well as sex could play a critical role in flexibility difficulties in autism.