Despite some mixed results in recent weeks, 2025 could become a landmark year in the history of Villa with silverware still possible in two competitions.
Through to the last 16 of the Champions League and chasing the European spots in the Premier League, Villa are hoping to win the FA Cup for the first time since 1957 and to claim a first domestic trophy since 1996.
The strong Villa starting XI named by Unai Emery underlined the reverence they are showing the FA Cup and was in stark contrast to a much-changed Cardiff City side that included a debut for 19-year old academy graduate Dylan Lawlor.
It was no surprise that the hosts were the livelier in the opening exchanges with Cardiff goalkeeper Horvath saving Rashford's long-range freekick and John McGinn's tame effort.
Horvath also got a vital touch to deny Ollie Watkins when he went clear and after 23 minutes Villa had produced nine shots on goal with Cardiff practically welded to their own penalty area and unable to stem the pressure.
Bailey's powerful volley was saved by Horvath and Rashford blazed over from Bailey's cross, with Horvath making a terrific stop to deny Watkins with the last chance of a one-sided first half.
Horvath, given his chance at Cardiff after a season-ending injury for Jak Alnwick, was in inspired form and he denied McGinn again on 49 minutes before a fingertip stop kept out Rashford's long-range blast.
The pressure eventually told on 68 minutes, however, when Youri Tielemans found Rashford in space and he pulled the ball back for Asensio to sweep precisely into the bottom corner of the net.
The relief was palpable for the hosts who were the better side throughout and should have won by a wider margin.
Deservedly ahead on a night where they produced 25 shots and won 12 corners, Villa made the result safe with 10 minutes remaining as Spain midfielder Asensio fired through a crowded penalty area after Bailey's cross found him with time and space to apply the finish as Cardiff's fatigued defenders failed to make a challenge.
Asensio has now scored four goals in two starts for Villa.
Morgan Rogers missed a late chance to add a third for Villa on a night in which the hosts had close to 60 touches in Cardiff's penalty area.