OurCal's calendar shows all your events together in a single, vertically scrolling view — differentiated by calendar colour and the colours of scheduled members.
To hide specific calendars, tap the filter icon in the bottom right of the calendar screen to open the Filters view.

From here you can choose exactly which calendars to show:
Untick any calendars you don't want to see. Only events from the calendars that remain selected will be shown.
If you also want to ignore member filtering, tap "Unselect All" under the Members section so no members are ticked. The calendar will then show events based only on which calendars you have selected.
Select the calendars and members you want, then tap the "or" dropdown to choose your filter mode. "Or" shows events that match either the selected calendars or the selected members. "And" shows only events that match both — e.g. events in the "Kids" calendar that are also assigned to "Annie".
Tap the tick in the top right to apply your filters.