These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Archbishop of Canterbury: And do you the chosen Bishops of England, Wales and Scotland assent to this anointment? Scottish Bishop: For Scotland I do. Welsh Bishop: For Wales I do. Johnny English (disguised as English bishop): For England—(removes bishop disguise)—I DO NOT!
In the sequel, there's:
The chase scene in Hong Kong, and the fight scene that followed.
The entire wheelchair sequence, mainly since Johnny managed to outrun every agent the British government could throw at him using a hi-speed wheelchair.
And finally, everything following Johnny's Disney Death all the way to him blowing up Ambrose.
Nightmare Fuel / Hell Is That Noise: In-universe, sort of; in the second movie, halfway, Johnny English gets nervous upon hearing a vacuum cleaner (fear caused by a cleaning old lady, no less).
Unfortunate Implications: In the sequel. Upon seeing that he's been assigned a black dude for a partner, Johnny says "well, it'll be nice to have someone to carry the bags." It probably made it through since the next thing he does is eat something he really shouldn't.
Considering Johnny's otherwise lack of any apparent racism at all (except a slight irritation at the thought of being killed by the Swiss), his comment may have been about Tucker's lack of age (and therefore useful experience), rather than his race.
As an English film, where racism is nowhere near as much of an issue as it in in America, this wouldn't even have caused a blip on most people's radars.