I think it's great too and you've covered why pretty fully. Quintessential Godard and New Wave, in fact among the handful of films best placed to represent the 20th century imo. Genre-hopper, use of primary colours (though i think Contempt was pretty impressive too and see also Rohmer films), range of cultural references including pulp, influence on Tarantino (a thieving magpie film geek dwarfed by Godard) and then so many others, beginning, middle and end but not necessarily in that order, drawing attention to film-making process/"Brechtian" distancing devices/ direct-to-camera, continuing relevance (US imperialism etc), unmistakably a product of the 60's but effortlessly modern, explosion, film as emotion..

I love its warmth, joyful vitality and sensuality (encapsulated in Anna Karina), a hedonist's delight with the sun and locations in South of France (again reminder of Contempt in Capri), its wonderful sense of freedom- plot, characters, travel, as well as film-making itself. That scene with the fox on the table is among my favourites in cinema and the whole romantic idyll by the coast is ravishing.

Top rating from me too.