There are a myriad of reasons to memorize Scripture. I've been blessed with a quick mind and an ability to easily memorize anything except numbers (don't ask). Over the last few years, as I've read through the entire Bible several times, I've kept a list of verses and passages I'd like to memorize. You would think I'd find the time to do just that. But too many things get in the way.
The following list is one of verses/passages I've already memorized. Most are hyperlinked to Reftagger already; just hover over the verse to see the text. It's easy enough to look up the others at BibleGateway, where you can also view alternate translations.
If you're just starting out memorizing Scripture, the first dozen verses on the list are an excellent place to begin, but truly, it's much easier to memorize a verse that has meaning to you. Any verse can be a "memory verse". The important thing is that you are hiding God's word in your heart on a regular basis.
2 Corinthians 5:17
Galatians 2:20
Romans 12:1 - 2
John 14:21
2 Timothy 3:16 - 17
Joshua 1:8
John 15:7
Philippians 4:6 - 7
Hebrews 10:24 - 25
1 John 1:3
Matthew 18:20
Matthew 4:19
Romans 1:16
Romans 3:23
Isaiah 53:6
Romans 6:23
Hebrews 9:27
Romans 5:8
1 Peter 3:18
Ephesians 2:8 - 9
Titus 3:5
John 1:12
Revelation 3:20
Romans 10:9 - 10
1 John 5:13
1 Corinthians 3:16
1 Corinthians 2:12
Isaiah 41:10
Philippians 4:13
Lamentations 3:22 - 24
Numbers 23:19
Isaiah 26:3
1 Peter 5:7
Romans 8:32
Philippians 4:19
Hebrews 2:18
Psalm 119:9 - 11
Matthew 6:33
Luke 9:23
1 John 2:15 - 16
Romans 12:2
1 Corinthians 15:58
Hebrews 12:3
Mark 10:45
2 Corinthians 4:5
Proverbs 3:9 - 10
2 Corinthians 9:6 - 7
Acts 1:8
Matthew 28:19 - 20
John 13:34 - 35
1 John 3:18
Philippians 2:3 - 4
1 Peter 5:5 - 6
Ephesians 5:3
1 Peter 2:11
Leviticus 19:11
Acts 24:16
Hebrews 11:6
Romans 4:20 - 21
Galatians 6:9 - 10
Matthew 5:16
1 John 5:11 - 12
John 16:24
1 Corinthians 10:13
1 John 1:9
Titus 2:11 - 13
James 4:7
1 John 3:4
Romans 5:8
John 3:14 - 16
John 5:24
John 14:6
Acts 4:12
John 10:28 - 29
1 John 5:12 - 13
Isaiah 59:2
John 8:32
Romans 6:18
Ephesians 2:10
1 John 1:9
John 15:16
John 14:2 - 3
All of the following are from Isaiah: 6:5 - 7, 7:14, 9:6, 12:2 -4, 12:5,
25:1, 26:3 - 4, 28:16, 28:29, 30:15, 30:18, 32:17, 40:8, 40:12 - 14, 40:29 - 30, 41:10, 42:8, 43:1 -3a, 43:10, 43:21, 45:6 7, 45:22, 50:4, 51:7, 52:7, 53:5 - 6,55:9 - 11, 58:11, 61:10
All of the following are from Philippians: 1:3 - 6, 1:9 - 11, 1:21, 2:5 - 6, 2:7 - 8, 2:9 - 11, 2:12 - 13, 2:14 - 16, 3:3 - 4, 3:8 - 10, 3:12 - 14, 3:20 - 21, 4:1, 4:6 - 7, 4:8 - 9, 4:11
All of the following are from Jeremiah: 10:6, 10:10, 32:17, 1:9, 5:13, 8:9, 15:16, 23:28 - 30, 5:31, 9:3, 22:29, 5:14, 20:8 - 9, 7:24, 17:9 - 10, 10:23 - 24, 33:3, 1:19, 14:7, 17:14, 9:23 - 24, 9:1, 29:11 - 13, 30:3, 31:3, 33:14 - 15, 31:33 - 34, 33:11