Although not a child of the 70's (I was born in 1980), I can appreciate the points made about the wonder of finding the newest games ready to play.
I live in the very heart of England, which meant my arcade time was almost exclusively limited to seaside trips or the occasional crack in a recreation centre. Over in the UK arcade owners just didn't have the cash to spend on original machines, so most games I played were in generic JAMMA cabinets and arrived much later than our US counterparts, but I still remember the awe experienced when I discovered certain games, such as an original Space Invaders (memorable for the coloured strips over the screen), Pac-Land, Wardner and Wonderboy (addictive platformers with colourful graphics, Splatterhouse (surprising level of gore for the time), 720 (trackball design with cool 'boom box' cabinet), Street Fighter 2 (later on, but a landmark fighting game) etc. etc..
Probably my most memorable were the awesome 4-player experiences of games like TMNT, Simpsons, Wrestlefest, Gauntlet, and NBA Jam, more so because multi-player gaming was finding it's way home effectively, and arcade ports were becoming closer to the original arcade games.