Is there such a thing as the "universal church", meaning something beyond a local congregation?
Have a look at Matthew 15:18; 1 Corinthians 15:9; Ephesians 5:25-27; Hebrews 12:23. There are a few other instances where the usage appears to be universal rather than local, but those come to mind immediately.
From the Baptist 1689 Confession:
Chapter 26: Of the Church
1._____ The catholic or universal church, which (with respect to the internal work of the Spirit and truth of grace) may be called invisible, consists of the whole number of the elect, that have been, are, or shall be gathered into one, under Christ, the head thereof; and is the spouse, the body, the fulness of him that filleth all in all.
(
Hebrews 12:23; Colossians 1:18; Ephesians 1:10, 22, 23; Ephesians 5:23, 27, 32 )
2._____ All persons throughout the world, professing the faith of the gospel, and obedience unto God by Christ according unto it, not destroying their own profession by any errors everting the foundation, or unholiness of conversation, are and may be called visible saints; and of such ought all particular congregations to be constituted.
(
1 Corinthians 1:2; Acts 11:26; Romans 1:7; Ephesians 1:20-22 )
3._____ The purest churches under heaven are subject to mixture and error; and some have so degenerated as to become no churches of Christ, but synagogues of Satan; nevertheless Christ always hath had, and ever shall have a kingdom in this world, to the end thereof, of such as believe in him, and make profession of his name.
(
1 Corinthians 5; Revelation 2; Revelation 3; Revelation 18:2; 2 Thessalonians 2:11, 12; Matthew 16:18; Psalms 72:17; Psalm 102:28; Revelation 12:17 )
4._____ The Lord Jesus Christ is the Head of the church, in whom, by the appointment of the Father, all power for the calling, institution, order or government of the church, is invested in a supreme and sovereign manner; neither can the Pope of Rome in any sense be head thereof, but is that antichrist, that man of sin, and son of perdition, that exalteth himself in the church against Christ, and all that is called God; whom the Lord shall destroy with the brightness of his coming.
(
Colossians 1:18; Matthew 28:18-20; Ephesians 4:11, 12; 2 Thessalonians 2:2-9 )
5._____ In the execution of this power wherewith he is so intrusted, the Lord Jesus calleth out of the world unto himself, through the ministry of his word, by his Spirit, those that are given unto him by his Father, that they may walk before him in all the ways of obedience, which he prescribeth to them in his word. Those thus called, he commandeth to walk together in particular societies, or churches, for their mutual edification, and the due performance of that public worship, which he requireth of them in the world.
(
John 10:16; John 12:32; Matthew 28:20; Matthew 18:15-20 )
6._____ The members of these churches are saints by calling, visibly manifesting and evidencing (in and by their profession and walking) their obedience unto that call of Christ; and do willingly consent to walk together, according to the appointment of Christ; giving up themselves to the Lord, and one to another, by the will of God, in professed subjection to the ordinances of the Gospel.
(
Romans. 1:7; 1 Corinthians 1:2; Acts 2:41, 42; Acts 5:13, 14; 2 Corinthians 9:13 )
7._____ To each of these churches thus gathered, according to his mind declared in his word, he hath given all that power and authority, which is in any way needful for their carrying on that order in worship and discipline, which he hath instituted for them to observe; with commands and rules for the due and right exerting, and executing of that power.
(
Matthew 18:17, 18; 1 Corinthians 5:4, 5; 1 Corinthians 5:13; 2 Corinthians 2:6-8 )
8._____ A particular church, gathered and completely organized according to the mind of Christ, consists of officers and members; and the officers appointed by Christ to be chosen and set apart by the church (so called and gathered), for the peculiar administration of ordinances, and execution of power or duty, which he intrusts them with, or calls them to, to be continued to the end of the world, are bishops or elders, and deacons.
(
Acts 20:17, 28; Philippians 1:1 )