In order to list this information, you need to add more tables to your reports. Each logon scanned by Lansweeper is stored in tblCPlogoninfo. Asset names are stored in tblAssets. The following report lists computers to which each user has logged on:
Select Top 1000000 tblADusers.Displayname,
  tblADusers.Firstname,
  tblADusers.Lastname,
  tblADusers.Department,
  tblADusers.Office,
  tblADusers.Description,
  tblADusers.whenCreated,
  tblAssets.AssetID,
  tblAssets.AssetName,
  tLastLogon.[last logon]
From tblADusers
  Left Join (Select Max(tblCPlogoninfo.logontime) As [last logon],
    tblCPlogoninfo.Username,
    tblCPlogoninfo.Domain,
    tblCPlogoninfo.AssetID
  From tblCPlogoninfo
  Group By tblCPlogoninfo.Username,
    tblCPlogoninfo.Domain,
    tblCPlogoninfo.AssetID) tLastLogon On tblADusers.Username =
    tLastLogon.Username And tblADusers.Userdomain = tLastLogon.Domain
  Left Join tblAssets On tLastLogon.AssetID = tblAssets.AssetID
Order By tblADusers.Displayname