Alan Connell's late, late penalty in the very final seconds of the game rescued a point for City after Aldershot had threatened to register a smash and grab away victory.
Connell's penalty in the last of eight minutes of time added on managed to cancel out Kieron Cadogan's opener on the stroke of half time for Aldershot and give City at least some reward for their totally dominant display.
Despite going into injury time at the end of a frustrating game trailing, City had enjoyed almost complete control over proceedings from the very start of the encounter.
Zavon Hines was twice denied by smart save from Jamie Young in the opening quarter of the game, while Michael Nelson sent a free header narrowly wide of the post following Will Atkinson's inviting centre.
Just before the interval, however, City were stunned when Cadogan's free-kick from a wide position beat everyone before nestling in the far bottom corner of Jon McLaughlin's goal to give the visitors a barely-deserved half time lead.
Aldershot debutant Paul McCallum slid wide from close range after he'd latched onto a fizzing low cross from Cadogan ten minutes after the restart, but, aided by the arrival of Kyel Reid and Garry Thompson from the bench on the hour mark, City began to lay siege to the Aldershot goal as the second half progressed.
By the time Connell had made an appearance from the bench twelve minutes before the end of normal time to allow City to move to a 3-4-1-2 formation, it was virtually constant one-way traffic towards Aldershot's goal.
Partly due to second half injuries to Aldershot 'keeper Jamie Young and skipper Ben Herd, both of whom had to be replaced, as many as eight minutes of injury time were put up to give City one last bit of hope as the clock ticked past ninety.
Over seven of those minutes had passed when Hines nipped to just beat Shots defender Terrell Forbes to a loose ball before tumbling to the ground under the centre half's challenge.
Referee Mr Clark had no hesitation in pointing to the spot and Connell had no doubts about taking the kick.
Despite the pressure of the kick, the Bantams striker coolly took his time before driving his spot-kick past substitute 'keeper's Glenn Morris' dive to ensure a share of the spoils for City in drama fashion.
FT: Bradford City 1 Aldershot Town 1
90+8min: GOAL!!!!!!!!!!!!!!!!!!!!! Bradford City 1 Aldershot Town 1 - Connell takes responsibility for the kick and duly delivers by drilling the penalty into the corner.
90+8min: PENALTY TO THE BANTAMS!!!!!!!!!!!! - City have a late, late penalty when Hines is adjudged to have been tripped inside the area by Forbes.
90+2min: Connell's low angled drive from a wide position inside Aldershot's area goes a yard or so wide of Morris' near post.
90min: There will be eight minutes of time added on at the end of the match.
88min: Jones' looping header from a Reid cross is tipped over by a back-pedaling Morris.
88min: SUB - Aldershot bring on Asa Hall for Reid.
86min: Connell's low drive from just outside the area is well held by Morris.
86min: Reid's teasing cross into the middle gets a little touch on it by Connell but Morris is there to get an important hand on the ball and make the block.
83min: YELLOW CARD - Lancashire is booked for blocking off Reid as the winger looks to burst forward down City's left flank.
81min: Hanson's downward header from Reid's flighted corner is tipped over the bar by Morris.
79min: SUB - Aldershot replace Herd, who seems to have picked up a knock, for Oliver Lancashire.
78min: SUB - Alan Connell comes on for Nelson for City. The Bantams are now lining up in a 3-4-3 formation.
76min: Cadogan's inswinging cross is glanced just over the bar by a header from Reid in the middle.
73min: Hines' deflected strike flicks up invitingly inside the area but Morris is onto it just before Thompson can look to pounce.
72min: Jones' delivery from a short corner is headed back across goal by Nelson towards his central half partnered McArdle. McArdle's header for goal is on target but his the unfortunate Thompson and bounces away.
71min: YELLOW CARD - Herd is booked for bringing down Reid out by City's left flank.
70min: SUB - Despite Young's protests that he is now fine, the 'keeper is brought off for fellow custodian Glenn Morris.
69min: Young needs a couple minutes of treatment after appearing to take a whack during his clash with Hines.
67min: Young and Hines compete for a ball just on the very edge of the 'keeper's penalty area. As the pair tangle, Hines is up first to the ball and crosses into the area towards Aldershot's unguarded goal. Thompson tries to win the ball in the air but Aldershot can head clear.
62min: Stephen Darby manages to put over three teasing crosses within a minute or so - all of them defended by Aldershot though despite the testing nature of the deliveries.
61min: SUBS - City bring on Kyel Reid and Garry Thompson for Ravenhill and Wells respectively.
55min: Cadogan low fizzing cross along the six yard box is somehow put over the bar from close range at the far post by a sliding McCallum.
54min: YELLOW CARD - Danny Rose is cautioned by catching Ricky Ravenhill late just inside Aldershot's own half.
50min: McCallum fizzes over a low centre that narrowly beats the lurking pair of Peter Vincenti and Craig Reid over by the far post.
46min: The Bantams restart the match.
HT: Bradford City 0 Aldershot Town 1
45+1min: GOAL - Bradford City 0 Aldershot Town 1 - The visitors take a shock lead from the free-kick that follows when Kieron Cadogan's wide delivery beats everyone before nestling in the far corner. With City having pretty much all of the chances in the first half so far, you have to say that goal has come against the flow of the match so far.
45min: There will be one minute time added on at the end of the half.
45min: YELLOW CARD - McArdle is booked for catching Paul McCallum late out wide over by City's right flank.
41min: Jones' rising drive from just outside the area is pushed over the bar by Young.
41min: Hines' teasing low cross along the six yard box is crucially kicked away by Ben Herd in the middle. Any City player on to that one and it was a simple tap-in for them.
28min: Still up from an earlier corner, Michael Nelson heads narrowly wide of the post following Will Atkinson's teasing cross into the centre.
27min: Hines' low cross into the area eventually falls into the path of Nahki Wells on the edge of the Aldershot area. Forced slightly wide of goal, Wells tries to get a shot-come-cross away but his effort is blocked behind by the outstretched leg of Terrell Forbes.
17min: Rory McArdle heads over from a wide Jones free-kick. The defender was flagged for offside as he made a connection with the ball, however, so any goal wouldn't have counted even if McArdle had of beaten Young with his header.
11min: Hines drives into the area and at a retreating Aaron Morris before fizzing in a low angled drive which Young reaches down to flick it around the post.
9min: The resulting corner leads to a spot of head tennis inside Aldershot's penalty area. Despite the best intentions of gathered City players in the area, Aldershot eventually are able to clear their lines.
9min: Gary Jones' lay-off picks out Zavon Hines, who shoots for goal with a low drive from just outside the area that Jamie Young tips around the post.
0min: Aldershot kick off the match.