if your just looking for a report of backups you can query msdb.dbo.backupset which contains allot of information

select top 10 b.database_name, b.backup_start_date, b.backup_finish_date

from msdb.dbo.backupset b

with a join to sys.databases you can eliminate system databases if you dont care about them or can get more detailed info about the databases. no need to run through the error log with a cursor.