Verses with the word burdensome in the New Testament (4 verses):

2 Corinthians 11:9
And when I was present with you, and wanted, I was chargeable to no man: for that which was lacking to me the brethren which came from Macedonia supplied: and in all things I have kept myself from being burdensome unto you, and so will I keep myself.

2 Corinthians 12:13
For what is it wherein ye were inferior to other churches, except it be that I myself was not burdensome to you? forgive me this wrong.

2 Corinthians 12:14
Behold, the third time I am ready to come to you; and I will not be burdensome to you: for I seek not your's but you: for the children ought not to lay up for the parents, but the parents for the children.

1 Thessalonians 2:6
Nor of men sought we glory, neither of you, nor yet of others, when we might have been burdensome, as the apostles of Christ.