When the bell-ringer arrives at the church at the beginning of the movie he leaves his bicycle on the steps of the front door. When the Monsignor arrives and rushes to investigate the screaming, the bicycle is no longer there.
When Dracula "seduces" Zena, he pulls at the ribbon fastening her cloak. This causes her to turn to face him, but does not conspicuously loosen her cloak. However, the camera then jumps to another angle (roughly, Dracula's POV). The editing suggests direct continuity, but Zena's cloak has, seemingly instantaneously, slipped off from her left shoulder.
During the pub scene with the village priest, the Monsignor is clearly without his ring, yet a close-up of his right hand shows him wearing it. Seconds later he is once again without his ring. The ring continues to appear and disappear during further scenes.
When Dracula is wounded with the stake, we see his jacket is torn and bloodstained. After he pulls the stake from his chest, not only has his wound healed miraculously (which is reasonable enough for a vampire), but there is no sign of a hole or bloodstains on his jacket.
The priest and Monsignor must make a treacherous climb up the mountains to get to Dracula's castle in order to exorcise it. What happened to the dirt road that the Kents were able to easily use in the previous movie?
Dracula's castle seems to be missing the front road, the bridge from the road to the door, and the moat with the frozen water. This apparently explains how Dracula's body ended up somewhere else due to the disappearance of these former features of the castle.
Dracula breaks through a window in Maria's room trying to escape, but we see Maria later and the window is unbroken. Later still, we see the Priest break through the the same (and now boarded-up) window.
The scene in which Zena is walking along the road at nighttime, just before the coach chases her: as the scene fades in, there is an audible "click" and the light suddenly changes (probably due to the cameraman adjusting the day-for-night filter).
The first scene in the church. Blood is dripping from the inside of the church bell, through the hole and down the rope. Unless it has anti-gravity properties, however, it should not be also on the outside of the bell nor on the underside of the hole (but it is).
Scenes in the day following Maria's seduction / attack include her being visited by her guardians (in daylight) and Paul studying in his room (at sunset). Between these is a scene in the sewer, in which Dracula's empty coffin is seen and a figure (presumably Dracula) passes the street-level grating, blocking out the light. This strongly implies that Dracula is returning to his coffin during daylight hours. Whilst this would certainly be acceptable behavior for Bram Stoker's original character (who was merely inconvenienced by sunlight), it is a serious continuity error in the Hammer series, which established (in "Dracula" - 1958) that any exposure to sunlight will decompose a vampire to dust.
This movie supposedly takes place one year after "Dracula - Prince Of Darkness". In "Horror Of Dracula", the story takes place, according to Jonathan Harker's diary, somewhere around 1887. In "Dracula - Prince Of Darkness", Father Sandor claims that it is about 10 years since Dracula's destruction, i.e. about 1897. Thus, "Dracula Has Risen From The Grave" should take place in 1898 if a year has passed. However, the inscription-plate on the coffin which the priest steals for Dracula gives the dates of Gisela Heinz's life as 1885-1905 - several years *after* the apparent setting. Consistency can only be maintained if we assume that in "Prince of Darkness", Father Sandor was speaking loosely, and meant *over* ten years had passed.
The cross that the Monsignor takes from the church is clearly made of wood with gold foil and/or paint (apparent from the ease with which he handles it, and also when it is seen in close-up as he converses with the frightened Priest on the mountainside). However, when it falls from the cliff in the final sequence, the (over-dubbed) sound it makes as it hits the rocks suggests it to be made of solid metal.
When the priest exhumes the coffin of Gisela Heinz (the girl who had been suspended in the bell), we see that, although her body shows signs of decay, her breast has fresh, bright red blood on it (presumably from a staking-wound, as a potential vampire). However, after several months in the grave, her blood should not still be fresh and bright - unless she *is* a vampire and is still 'alive'/undead, although wounded.
Upon Dracula's resurrection, his jacket as well as the rest of his clothing are pristine, not to mention completely dry. This after he was seen laying in the icy water for over one year. Usually, clothing would rot after this amount of time, even in cold water.
When Dracula is impaled on the cross, a side angle shows him struggling and grabbing at the end of the cross. If you look carefully, the end does not line up with the rest of it, as if he has a prosthetic in his chest.