Your father is awesome!
(My first TR was TR2 back in '98 and ever since i was hooked to the series).

TRA was definitely an improvement compared with the previous TR(Legend).
Its also unfair to try and compare it with the original.The first TR was groundbreaking for its time,a game which i believe has aged well.I replayed it quite recently and,nostalgia aside,i have to say that i really enjoyed it.The atmosphere and mood of the original is unsurpassable.It also "felt" less linear than the remake.
TR anniversary is a good game,the new puzzles are clever,the graphics are great,but it feels a bit linear (although less than legend).Also i really hated the combat controls especially gimmicks like adrenaline dodge.Things like that subtract from the overall game's atmosphere.
I have played it for PS2 so i can't say about the Wii version (although i have heard a lot of Wii users compaining about the controls).