Throughout the entire serial, Ace is seen wearing an earring she would not be shown acquiring until the following serial, The Greatest Show in the Galaxy: Part One (1988). The Greatest Show in the Galaxy was initially intended to air before Silver Nemesis, but Silver Nemesis would ultimately be broadcast first to tie in with Doctor Who's 25th anniversary,
Ace already has Flowerchild's earring pinned to her jacket, even though she doesn't actually find it until the next story, The Greatest Show In the Galaxy. (This was due to the running order of the stories being swapped.)
When the Doctor and Ace fall into the river, it is obviously a stunt double and not actually Sylvester McCoy; aside from the careful camera angles only showing him from the back, the stunt double moves very differently and is at least half a head taller! (See also trivia.)
The head Nazi is named De Flores, which is not a German name. It was used as an allusion to 17th century English theatre (see trivia).