Short and Sacred, Volume 2 by Valerie Floeter  contains miniature sacred solos, each about a minute long,  perfect for any worship occasion.  There are many occasions when a piece of less than a minute fits the requirement. Short and Sacred, Volume 2 contains the following titles –

A Mighty Fortress Is Our God (EIN FESTE BURG)
All Praise to God Who Reigns Above (LOBT GOTT DEN HERREN, IHR HEIDEN ALL)
As We Begin Another Week (HERR JESU CHRIST, MEINS)
Crown Him with Many Crowns (DIADEMATA)
Glory Be to God the Father (WORCHESTER)
God of Grace and God of Glory (CWM RHONDDA)
Jerusalem the Golden (THAXTED)
Let All Things Now Living (THE ASH GROVE)
Lord, Keep Us Steadfast in Your Word (ERHALT UNS, HERR)
Lord of My Life, Whose Tender Care (O JESU, WARUM LEGST DU MIR)
Oh, Worship the King (HANOVER)
Praise God, from Whom All Blessings Flow (OLD HUNDREDTH)
Praise to the Lord, the Almighty (LOBE DEN HERREN)
The Church’s One Foundation (AURELIA)
To Your Temple I Draw Near (GOTT SEI DANK DURCH ALLE WELT)
We Give Thee but Thine Own (ENERGY)
Sample