Right after the Olympic Carrier has been declared missing, in the very next shot of Colonial One, you can see the Olympic Carrier behind it.
President Roslin changes the number of people in the fleet from more than 50,000 down to 49,998 because of deaths, miscounts and missing people. When the Olympic Carrier (with slightly more than 1300 combined passengers and crew) goes missing, she writes 47,973 as the remaining survivors (a difference of 2,025).
When Gaius and the 6 are in his home on Caprica, he is shown undoing and lowering the neck strap of her dress. In the next shot she undoes and lowers the same strap herself.
Just after jump 237, Commander Adama is in his quarters shaving and then just before jump 238 he is back to un-shaven.
As Dee admits to Commander Adama that she's lost the Olympic Carrier, her headphone changes sides in the middle of the conversation.
When the clock in CIC is kept running after the Cylons fail to make the 240th appearance, the Electronic display above the Situation Table is shown counting up to 45 minutes. However after +44:49:99, the numbers roll over to show +45:00:00, completely skipping the last 10 seconds.
At 11 minutes when Capt. Adama is addressing the viper pilots the brand name "SHURE" can be seen clearly on the microphone.
The clock counts down to the next Cylon attack. It reads 10 seconds, then we see Adama and Tigh looking off-screen at the clock as we hear ten seconds tick off, followed by a shot of the clock reading 7 seconds.
When the Olympic Carrier returns, Cmdr. Adama calls out "Mr. Gaeta!" Lt. Gaeta turns and goes to Parade rest. When the camera switched back to Adama, and he calls out "Restart the clock, thirty-three minutes", Gaeta is in the background, going to parade rest again. When the camera switches back to Lt. Gaeta, he turns and opens the clock face in front of him. When the camera refocuses on Adama, Gaeta is in the background, opening the clock face again.