People Who Made Excuses
It's interesting to note that people have been making excuses way back near the beginning of the bible. In Gen 3:12-13 we see Adam blaming Eve and Eve blaming the serpent. These excuses didn't get them off the hook however as they were punished nonetheless.
We see in Exo 4:10 that Moses gave the excuse that he wasn't eloquent and slow of speech when God told him to go to Pharaoh in order to bring the children of Israel out of Egypt. In regards to the golden calf of Exodus 32, it seems to me that Aaron blamed the Israelite's for it's creation (Exo 32:22-24).
Do you remember what Gideon said when the Lord said that he would save Israel from the Midianites? He said his family was poor and that he was least in his father's house (Judg 6:14-15). Jeremiah said he was a child (Jer 1:6), Israel said that it wasn't time for the house of the Lord to be built (Hag 1:2), and the disciple who asked to bury his father first also seems to be kinda an excuse to me as well (Mat 8:21).
See also Luk 9:61-62
What The Bible has to say about Excuses
This last segment is about relevant passages of scripture concerning excuses. In Prov 20:4 and Prov 22:13 we see that the slothful/sluggard makes excuses so that they don't have to go and work outside. In Luk 14:18-20 we see several excuses people made as to why they didn't show up to the supper.
When we take a look at Rom 1:20 we can see that an Atheist will not have an excuse on judgment day for they can tell just by looking at creation that there is a God.
See also: Rom 2:1
To conclude this short post on excuses and the bible let us remember 1Joh 3:18 which tells us to love in deed and truth. I bring this verse up because alot of times people can have good intentions to help someone but then not follow through. As Christians we should never make an excuse not to do good when we see the opportunity because that would be sin (Jam 4:17).